SOLUTION: Could you please help me. One positive number is eight more than another. The sum of their squares is 104. Find both numbers.

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Question 1068535: Could you please help me. One positive number is eight more than another. The sum of their squares is 104. Find both numbers.
Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x-y = 8
x^2 + y^2 = 104

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=B%2B8
A%5E2%2BB%5E2=104
Substitute,
%28B%2B8%29%5E2%2BB%5E2=104
B%5E2%2B16B%2B64%2BB%5E2=104
2B%5E2%2B16B-40=0
B%5E2%2B8B-20=0
Solve this using the quadratic formula or completing the square.
Then once you have B use either original equation to solve for A.
You will have multiple answers.