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AnilSinghBora
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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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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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  1. 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 (4– 1)2

    The roots of this equation, 2x2 – x + 1/8 = 0, are the values of x for which (4– 1)2= 0

    Therefore, (4x – 1) = 0 or (4x – 1) = 0

    ⇒ x = 1/4 or x = 1/4

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