SOLUTION: the sum of two numbers is 20 and the sum of their square is 208. find these numbers

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Question 124994:
the sum of two numbers is 20 and the sum of their square is 208. find these numbers
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=20 OR X=20-Y
X^2+Y^2=208
(20-Y)^2+Y^2=208
400-20Y+Y^2+Y^2=208
2Y^2-20Y+400-208=0
2X^2-20Y+192=0
2(X^2-10X-96)=0
2(X-16)(X+6)=0
X-16=0
X=16 ANSWER.
X+6=0
X=-6 ANSWER.