You can put this solution on YOUR website! the sum of the reciprocals of two consecutive even integers is 11/60. Find the integers:
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two even consecutive integers: x, (x+2)
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Multiply by 60x(x+2), results
60(x+2) + 60x = 11x(x+2)
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60x + 120 + 60x = 11x^2 + 22x
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Arrange as a quadratic equation
0 = 11x^2 + 22x - 120x - 120
11x^2 - 98x - 120 = 0
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Were dealing with integers, so it should factor:
(11x + 12) (x - 10) = 0
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Two solutions
x = 10, the integer solution is what we want here
x =
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The two integers: 10, 12
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Check solution + = + =
