SOLUTION: The sum of two squares equal 289. One number is 7 more than the other.

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Question 79411: The sum of two squares equal 289. One number is 7 more than the other.
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+(x+7)^2=289
x^2+x^2+14x+49=289
x^2+14x+49-289=0
x^2+14x-240=0
(x+24)(x-10)=0
x+24=0
x=-24 answer
x-10=0
x=10 answer.
proof
10^2+17^2=289
100+189=289
289=289