Question

Solve by factorization method: x² = 18x - 77

Answer 1

x = 7 , x = 11

Explanation:

given

x² = 18x - 77 ( subtract 18x - 77 from both sides )

x² - 18x + 77 = 0 ← in standard form

(x - 7)(x - 11) = 0 ← in factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x - 11 = 0 ⇒ x = 11

solutions are x = 7 , x = 11