Question

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

A. {-1/4, -1/2}
B. {-1/4, 1/2}
C. {1/4, 1/2}

Answer 1

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

Answer 2

`\text{The solution set is }\{(-1)/(4), (1)/(2)\}`

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=(-1)/(4), (1)/(2)`

`\text{The solution set is }\{(-1)/(4), (1)/(2)\}`

Option B is correct