For what values of fxis * x ^ 2 - 36 = 5x true?

Step-by-step explanation:

x ² - 36 = 5x

x²-5x-36=0

a=1 b = - 5 c=-36

calculate the discriminent b²-4ac ... continu

x = - 4, x = 9

Step-by-step explanation:

Given

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

x² - 5x - 36 = 0 ← in standard form

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 + 4 = 0 ⇒ x = - 4

x - 9 = 0 ⇒ x = 9