For what values of x is x2-36=5x true?

0 - 9 and 4

04 and 9

4 and - 9

09 and 4

x = - 4 and x = 9

Step-by-step explanation:

Given

x² - 36 = 5x (subtract 5x from both sides)

x² - 5x - 36 = 0

Consider the factors of the constant term ( - 36) which sum to give the coefficient of the x - term ( - 5)

The factors are - 9 and + 4, since

- 9 * 4 = - 36 and - 9 + 4 = - 5, thus

(x - 9) (x + 4) = 0

Equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 4 = 0 ⇒ x = - 4