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Consider the Equation. ​ ​

Question 245

Multiple Choice

Consider the equation. ​ Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula.
Without calculating, explain how to rewrite the equation so that it does not have an Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. -term.


A) To rewrite the equation Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. so that it does not have an Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. -term, you can solve for Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. in terms of Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. by completing the square or using the Quadratic Formula.
B) To rewrite the equation Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. so that it does not have an Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. -term, you can solve for Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. in terms of Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. by completing the square or using the Quadratic Formula.
C) To rewrite the equation Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. so that it has an Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. -term, you can solve for Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. in terms of Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. by taking square root or using the Quadratic Formula.
D) To rewrite the equation Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. so that it has an Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. -term, you can solve for Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. in terms of Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. by completing the square or using the Quadratic Formula.
E) To rewrite the equation Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. so that it has an Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. -term, you can solve for Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. in terms of Consider the equation. ​   ​ Without calculating, explain how to rewrite the equation so that it does not have an   -term. ​ A) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. B) To rewrite the equation   so that it does not have an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. C) To rewrite the equation   so that it has an   -term, you can solve for     in terms of   by taking square root or using the Quadratic Formula. D) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. E) To rewrite the equation   so that it has an   -term, you can solve for   in terms of   by completing the square or using the Quadratic Formula. by completing the square or using the Quadratic Formula.

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