Answer:
x = - 4, x = 11
Step-by-step explanation:
Given
x² - 7x - 34 = 10 ( subtract 10 from both sides )
x² - 7x - 44 = 0 ← in standard form
Consider the factors of the constant term ( - 44) which sum to give the coefficient of the x- term ( - 7)
The factors are - 11 and + 4, since
- 11 × 4 = - 44 and - 11 + 4 = - 7, hence
(x - 11)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
x + 4 = 0 ⇒ x = - 4
