Divide 25 into two parts so that the sum of the square of the parts is 353
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Let the first part = x
The next part will be 25 - x
x² + (25-x)² = 353
x² + 625 - 50x + x² = 353
2x² - 50x + 272 = 0
Divide by 2
x² - 25x + 136 = 0
(x - 8)(x - 17) = 0
x = 8 or x = 17
The numbers are 17 and 8
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