What is x² + 4x - 5=0

x = - 5, x = 1

Step-by-step explanation:

Given

x² + 4x - 5 = 0

To solve the quadratic equation by factoring.

Consider the factors of the constant term ( - 5) which sum to give the coefficient of the x - term ( + 4)

The factors are + 5 and - 1, since

5 * - 1 = - 5 and + 5 - 1 = + 4, thus

(x + 5) (x - 1) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 1 = 0 ⇒ x = 1

This factors as (x+5) (x-1) = 0

x+5=0 and x-1=0

x=-5 and x=1 are your answers