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AnilSinghBora
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Find the roots of the following equations: (ii) 1/x+4 – 1/x-7 = 11/30, x = -4, 7 Q.3(1)

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The best question of class 10th is find the roots, How i solve this difficult question, because it is very important ii) 1/x+4 – 1/x-7 = 11/30, x = -4, 7

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  1. ⇒ x-7-x-4/(x+4)(x-7) = 11/30

    ⇒ -11/(x+4)(x-7) = 11/30

    ⇒ (x+4)(x-7) = -30

    ⇒ x2 – 3x – 28 = 30

    ⇒ x2 – 3x + 2 = 0

    We can solve this equation by factorization method now,

    ⇒ x2 – 2x – x + 2 = 0

    ⇒ x(x – 2) – 1(x – 2) = 0

    ⇒ (x – 2)(x – 1) = 0

    ⇒ x = 1 or 2

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