Question

Find the roots of the following quadratic equation by factorisation: 

`2x^2 – x + 1/8 = 0`

Answer 1

`2x^2 - x + 1/8 = 0`

⇒ 16x² - 4x - 4x + 1 = 0

⇒ 4x(4x - 1) - 1(4x - 1) = 0

⇒ (4x - 1) (4x - 1) = 0

⇒ (4x - 1)² = 0

⇒ 4x - 1 = 0

⇒ x = `1/4`

Thus, the required roots are `1/4, 1/4`.