Question

Find the roots of the quadratic equation
2x2
- X + 1/8 = 0​

Answer 1

Step-by-step explanation:

$2 {x}^{2} - x + \frac{1}{8} = 0 \\ \\ multiply \: by \: 8 \: \: on \: both \: sides \: we \: get \: \\ \\ \implies 16 {x}^{2} - 8x + 1 = 0 \\ \implies \: 16 {x}^{2} - 4x - 4x + 1 = 0 \\ \implies \: 4x(4x - 1) - 1(4x - 1) = 0 \\ \implies \: (4x - 1) \: (4x - 1) = 0 \\ \\ \implies \: 4x - 1 = 0 \\ \implies \: 4x = 1 \\ \implies \: x = \frac{1}{4}$