Respuesta :

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:

[tex]x = -4, x = 2[/tex]

Step-by-step explanation:

Step 1:  Factor

[tex]x^2 + 2x - 8 = 0[/tex]

[tex]x^2 + 4x - 2x - 8 = 0[/tex]

[tex](x + 4)(x - 2) = 0[/tex]

Step 2:  Find the zeros

[tex]x + 4 - 4 = 0 - 4[/tex]

[tex]x = -4[/tex]

[tex]x - 2 + 2 = 0 + 2[/tex]

[tex]x = 2[/tex]

Answer:  [tex]x = -4, x = 2[/tex]