Question 530213: The difference between an integer and its square root is 110, what is the integer?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The difference between an integer and its square root is 110, what is the integer?
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Let "x" be the integer.
Equation:
x - sqrt(x) = 110
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sqrt(x) = x-110
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Square both sides to get:
x = x^2-220x+110^2
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Rearrange:
x^2-221x+110^2 = 0
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Factor:
(x-100)(x-121) = 0
x = 100 or x = 121
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Cheers,
Stan H.
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