SOLUTION: The sum of two numbers is 12 and the sum of their squares is 74

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Question 448687: The sum of two numbers is 12 and the sum of their squares is 74
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


So? What else do you want to know about them?

John

My calculator said it, I believe it, that settles it
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 12 and the sum of their squares is 74
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Equation:
x + y = 12
x^2 + y^2 = 74
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Substitute for "y" and solve for "x":
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x^2 + (12-x^2)^2 = 74
----
x^2 + 144 -24x^2 + x^4 = 74
--------
x^4 -23x^2 + 70 = 0
----
Use the quadratic formula to find the 4 solutions.
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Cheers,
Stan H.