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Question 358875: The difference between two positive integers is 5. If the smaller is added to the square of the larger, the sum is 105. Find the integers.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The difference between two positive integers is 5. If the smaller is added to the square of the larger, the sum is 105. Find the integers.
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Equations:
x - y = 5
y + x^2 = 105
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Substitute for "y" and solve for "x":
y = x-5
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x-5 + x^2 = 105
x^2 +x -110 = 0
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(x+11)(x-10) = 0
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Positive solution:
x = 10
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Since y = x-5, y = 5
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Cheers,
Stan H.
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