# ind the roots of the following quadratic equations by factorisation 2x^2 – x +1/8=0 - Mathematics

Find the roots of the following quadratic equations by factorisation 2x^2 – x + 1/8 = 0

#### Solution

2x2 – x + 1/8

=1/8 (16x2  - 8x + 1)

= 1/8 (16x^2  - 4x -4x + 1)

= 1/8 (4x(4x  - 1) -1(4x - 1))

= 1/8(4x - 1)^2

Roots of this equation are the values for which (4- 1)2 = 0

∴ (4x - 1) = 0 or (4x - 1) = 0

⇒ x = 1/4 or x = 1/4

Concept: Solutions of Quadratic Equations by Factorization
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#### APPEARS IN

NCERT Class 10 Maths