Question

What are the values of x in the equation x2 – 6x + 9 = 25? a. x = –2 or x = 8b. x = –1 or x = –11c. x = 1 or x = 11 d. x = 2 or x = –8

Answer 1

a

Explanation:

x² - 6x + 9 = 25 ( subtract 25 from both sides )

x² - 6x - 16 = 0 ← in standard form

(x + 2)(x - 8) = 0 ← in factored form

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 8 = 0 ⇒ x = 8