Question 94220: The product of two consecutive positive even integers is 288 find the integers
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The product of two consecutive positive even integers is 288 find the integers
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The two consecutive integers: x, and (x+2)
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Their product is 288:
x*(x+2) = 288
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x^2 + 2x - 288 = 0; our old friend, the quadratic equation
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Since the two numbers only differ by 2 we know the numbers will be close
to the square root of 288
Sqrt(288) = 17.97
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AN easy step to see it is 16 & 18
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The factors then are:
(x+18)(x-16) = 0
x = -18, with -16
and
x = +16, with +18
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