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The product of two consecutive positive integers is 306 we need to find integers. |
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Answer» Step-by-step EXPLANATION: Let two consecutive NUMBERS are X and (x + 1) A/C to QUESTION, product of x and (x + 1) = 306 ⇒x(x + 1) = 306 ⇒x² + x - 306 = 0 ⇒ x² + 18x - 17x - 306 = 0 ⇒x(x + 18) - 17(x + 18) = 0 ⇒(x + 18)(x - 17) = 0⇒ x = 17 and -18 Hence, numbers are x = 17 and (x +1) = 18 |
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