Respuesta :

Step-by-step explanation:

[tex] {x}^{2} - 6x - 16 = 0[/tex]

[tex] {x}^{2} - 6x = 16[/tex]

[tex] {x}^{2} - 6x + 9 = 16 + 9[/tex]

There two ways you can go this route.

Route 1

[tex](x - 3) {}^{2} = 25[/tex]

[tex](x - 3) {} = 5[/tex]

[tex]x = 8[/tex]

And

[tex]x - 3 = - 5[/tex]

[tex]x = - 2[/tex]

The roots are 8,-2

Answer:

x=-2,8

Step-by-step explanation:

x2 - 6x - 16 = 0

x²-8x+2x-16=0

x(x-8)+2(x-8)=0

(x-8)(x+2)=0

either

x=8

or

x=-2