Question

Which of the following could be the solution set to 8x² - 2x = 1?

Answer 1

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

Answer 2

Answer:

$\text{The solution set is }\{\frac{-1}{4}, \frac{1}{2}\}$

Step-by-step explanation:

Given the equation

$8x^2-2x=1$

we have to find the solution of above equation.

Expression: $8x^2-2x=1$

$8x^2-2x-1=0$

$8x^2-4x+2x-1=0$

$4x(2x-1)+1(2x-1)=0$

$(4x+1)(2x-1)=0$

$x=\frac{-1}{4}, \frac{1}{2}$

$\text{The solution set is }\{\frac{-1}{4}, \frac{1}{2}\}$

Option B is correct