Question

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

Answer 1

`x = -4, x = 2`

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`

Answer 2

x=2 x=-4

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