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The product of two consecutive integers is 90. Find the integers. |
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Answer» Let an integer be 'x' Then, its consecutive integer is (x + 1). According to the question, x(x + 1) = 90 x2 + x = 90 x2 + x - 90 = 0 x2 + 10x - 9x - 90 = 0 x(x + 10) -9(x + 10) = 0 (x + 10)(x - 9) = 0 x + 10 = 0 i.e. x = -10 and (x +1) = (-10 +1) = -9 or, x - 9 = 0 i.e. x = 9 and (x + 1) = (9 + 1) = 10 So, the required integers are -9 and -10 or 10 and 9. |
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