Question

What are the solutions to the equation x2 +2x-8=0

Answer 1

Answer:

x=2                    x=-4

Step-by-step explanation:

x^2 +2x-8=0

Factor

What numbers multiply to -8 and add to 2

-2*4 = -8

-2+4 =2

(x-2) (x+4) =0

Using the zero product property

x-2 =0             x+4 =0

x-2+2=0+2       x+4-4=0-4

x=2                    x=-4

Answer 2

Answer:

$x = -4, x = 2$

Step-by-step explanation:

Step 1:  Factor

$x^2 + 2x - 8 = 0$

$x^2 + 4x - 2x - 8 = 0$

$(x + 4)(x - 2) = 0$

Step 2:  Find the zeros

$x + 4 - 4 = 0 - 4$

$x = -4$

$x - 2 + 2 = 0 + 2$

$x = 2$

Answer:  $x = -4, x = 2$