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Factorization method Solve the following quadratic equation X square + 5 x minus 6 equals to zero |
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Answer» n :Solve the following quadratic equation : => x² + 5x - 6Answer : x = 1,-6Given :quadratic equation = x² + 5x - 6 = 0To find : ZEROES of the quadratic equationSolution : Given quadratic equation, x² + 5x - 6To solve it using factorization method, we must know the sum - PRODUCT pattern x² + 5x - 6 => It is of the form ax² + bx + c Find the product of quadratic term [ax²] and constant term [c] = x² × (-6) = -6x²Now, find the factors of "-6x²" in pairs Now, from the above, find the pair that ADDS to get linear term [bx]6x - x = 5xSo, SPLIT 5x into 6x and -x x² + 5x - 6 = 0 x² - x + 6x - 6 = 0Find the common factor, x(x - 1) + 6(x - 1) = 0 (x - 1)(x + 6) =0=> x - 1 = 0 ; x = 1=> x + 6 = 0 ; x = -6 |
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