Question

Solve by factoring:

x² – 5x - 14=0
O A. x = 7,X = -2
B. x = -7, x = 2
O C. x = -1, x = 14
O D. x=-14, x = 1
Answer ASAP!

Answer 1

A. x=-7, x=2

Explanation:

Answer 2

A

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

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2