How can i solve the quadratic equations by factorisation. It is very important question of class 10 math. I want the easy solution of this question. Find the roots of the following quadratic equations by factorisation:(iv) 2×2 – x +1/8 = 0
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Find the roots of the following quadratic equations by factorisation:(iv) 2×2 – x +1/8 = 0 Q.1(4)
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2x2 – x +1/8 = 0
Taking LHS,
=1/8 (16x2 – 8x + 1)
= 1/8 (16x2 – 4x -4x + 1)
= 1/8 (4x(4x – 1) -1(4x – 1))
= 1/8 (4x – 1)2
The roots of this equation, 2x2 – x + 1/8 = 0, are the values of x for which (4x – 1)2= 0
Therefore, (4x – 1) = 0 or (4x – 1) = 0
⇒ x = 1/4 or x = 1/4