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Solve the following quadratic equations by factorization:\(25x(x+1)=-\,4\) |
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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. \(25x(x+1)=-4\) ⇒ 25x2 + 25x + 4 = 0 ⇒ 25x2 + 20x + 5x + 4 = 0 ⇒ 5x(5x + 4) + (5x + 4) = 0 ⇒ (5x + 1)(5x + 4) = 0 ⇒ x = -1/5, -4/5 |
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