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The sum of the squares of two consecutive positive integers is 181. Find the integers |
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Answer» two consecutive positive integer is 9 and 10 Step-by-step explanation: let the two consecutive positive integers = X , x+1 A.T.Q x² + (x+1)² = 181 x² + x² + 1 + 2x = 181 2x² + 2x + 1 - 181 = 0 2x² + 2x -180 = 0 2x² + 20x - 18x - 180 = 0 2x(x+10).-18(x+10) = 0 (2x-18)(x+10) = 0 x = 9 or -10 but number is positive integer so , x = 9 then two consecutive positive integers is 9 and 10 |
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