SOLUTION: 7. The sum of two numbers is 17 and the sum of their square is 145. Find the larger number.

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Question 118645: 7. The sum of two numbers is 17 and the sum of their square is 145. Find the larger number.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 17 and the sum of their square is 145. Find the larger number.
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Let one of the numbers be "x"; the other is "17-x".
EQUATION:
x^2 + (17-x)^2 = 145
x^2 + 289 - 34x + x^2 = 145
2x^2-34x+144=0
x^2 - 17x + 72 = 0
(x-9)(x-8) = 0
x = 9 or x = 8
If one of the numbers is 9 the other is 17-9=8
If one of te numbers is 8 the other is 17-8=9
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The larger number is 9.
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Cheers,
Stan H.