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
AnilSinghBoraGuru
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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⇒ 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