Question

Solve x^2 +5x - 14 = 0​

Answer 1

Answer:

x = - 7, x = 2

Step-by-step explanation:

Given

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2, since

7 × - 2 = - 14 and 7 - 2 = + 5 , thus

(x + 7)x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2