SOLUTION: find 2 positive numbers whoes squares have a sum of 113 and a difference of 15

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Question 128190: find 2 positive numbers whoes squares have a sum of 113 and a difference of 15
Answer by stanbon(57307) About Me  (Show Source):
You can put this solution on YOUR website!
find 2 positive numbers whoes squares have a sum of 113 and a difference of 15
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EQUATIONS:
x^2 + y^2 = 113
x^2 - y^2 = 15
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Subtract the 2nd from the 1st to get:
2y^2 = 98
y^2 = 49
y = 7
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Substitute to solve for "x":
x^2 + 49 = 113
x^2 = 64
x = 8
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Cheers,
Stan H.