Respuesta :

The answer is B: (-1/4, 1/2)

Answer:

[tex]\text{The solution set is }\{\frac{-1}{4}, \frac{1}{2}\}[/tex]

Step-by-step explanation:

Given the equation

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

we have to find the solution of above equation.

Expression: [tex]8x^2-2x=1[/tex]

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

[tex]8x^2-4x+2x-1=0[/tex]

[tex]4x(2x-1)+1(2x-1)=0[/tex]

[tex](4x+1)(2x-1)=0[/tex]

[tex]x=\frac{-1}{4}, \frac{1}{2}[/tex]

[tex]\text{The solution set is }\{\frac{-1}{4}, \frac{1}{2}\}[/tex]

Option B is correct