Solve the following quadratic equation by completing the square.

Name: Solve the following quadratic equation by completing the square.
Brand: Quizplus
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Question

Quizplus · Accepted Answer

The quadratic equation can be written as $x^2 - 13x +36=0$. To complete the square, we need to add and subtract the square of half of the coefficient of $x$: $(x^2-13x+\frac{169}{4}) -\frac{169}{4} + 36 = 0$. Simplifying, we have $(x-\frac{13}{2})^2=\frac{41}{4}$, and taking the square root gives $x=\frac{13\pm\sqrt{41}}{2}$. Thus, the answer is (B).

Solve the Following Quadratic Equation by Completing the Square