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InterviewSolution
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Solve the following quadratic equations by factorization:\(\frac{1}{x-1}-\frac{1}{x+5}=\frac{6}{7},x\neq1,-5\) |
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Answer» In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized. \(\frac{1}{x-1}-\frac{1}{x+5}=\frac{6}{7},x\neq1,-5\) ⇒ 7(x + 5 – x + 1) = 6(x – 1)(x + 5) ⇒ 42 = 6x2 + 24x – 30 ⇒ x2 + 4x – 12 = 0 ⇒ x2 + 6x – 2x – 12 = 0 ⇒ x(x + 6) – 2(x + 6) = 0 ⇒ (x – 2)(x + 6) = 0 ⇒ x = 2, -6 |
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