Question

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

Answer 1

x = - 4, x = 9

Explanation:

Given

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

x² - 5x - 36 = 0 ← in standard form

(x - 9)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 4 = 0 ⇒ x = - 4