Respuesta :

Answer:

1/4

Step-by-step explanation:

Sum of the roots in equation

[tex]ax^2+bx+c=0[/tex]

is equal to -b/a

Rewrite the equation given:

[tex]8x^2-2x-1=0[/tex]

The sum of the roots is equal to [tex]-\frac{-2}{8} =\frac{1}{4}[/tex]
8x^2-2x=1
8x^2-2x-1=0
(4x+1)(2x-1)=0
x = -1/4, 1/2

-1/4 + 1/2 = -1/4 + 2/4 = 1/4