Question 168675: The sum of two numbers is six. The sum of the squares of the two numbers is twenty-six. Find the two numbers. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of two numbers is six. The sum of the squares of the two numbers is twenty-six. Find the two numbers.
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Let one of the numbers be "x".
Then the other numberis "6-x".
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EQUATION:
x^2 + (6-x)^2 = 26
x^2 + 36 -12x + x^2 = 26
2x^2 + 10 -12x = 0
x^2 - 6x + 5 = 0
(x-5)(x-1) = 0
x = 5 or x = 1
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Cheers,
Stan H.
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