SOLUTION: The sum of two numbers is twelve. The sum of their squares is 74. What are the two numbers?

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Question 521912: The sum of two numbers is twelve. The sum of their squares is 74. What are the two numbers?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=12
y=12-x
x^2+y^2=74
x^2+(12-x)^2=74
x^2+x^2-24x+144=74
2x^2-24x+70=0
x^2-12x+35=0
(x-7)(x-5)=0
x=7, y=5