You can put this solution on YOUR website! The sum of two numbers is 24. the sum of their square is 338. Find the numbers.
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x + y = 24
x^2 + y^2 = 338
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Substitute for "x" and solve for "y"::
(24-y)^2 + y^2 = 338
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24^2 - 48y + 2y^2 = 338
2y^2 - 48y + 238 = 0
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y^2 - 24y + 119 = 0
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Factor:
(y-7)(y-17) = 0
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Ans: The numbers are 7 and 17
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Cheers,
Stan H.
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