Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The sum of an integer and its square is 30. Find the integers.
A) -6 and 36
B) 25 and 36
C) 5 and -6
D) 5 and 25

Question

Quizplus · Accepted Answer

The equation to represent the problem is $x + x^2 = 30$. Rearranging gives $x^2 + x - 30 = 0$. Factoring this quadratic equation gives $(x + 6)(x - 5) = 0$, which has solutions $x = -6$ and $x = 5$. Therefore, the integers are 5 and -6.

Write the Word or Phrase That Best Completes Each Statement