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aniked [119]
3 years ago
13

Which of the following is a solution of x2 − 10x = −36? (6 points)

Mathematics
1 answer:
Softa [21]3 years ago
6 0

Answer:

D

Step-by-step explanation:

Given

x² - 10x = - 36

Solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = - 36 + 25

(x - 5)² = - 11 ( take the square root of both sides )

x - 5 = ± \sqrt{-11} ( add 5 to both sides )

x = 5 ± i\sqrt{11}

Thus

x = 5 - i\sqrt11} or x = 5 + i\sqrt{11}

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