SOLUTION: one positvie integer is 4 less than twice another. The sum of their squares in 100. What are the two integers.

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Question 889086: one positvie integer is 4 less than twice another. The sum of their squares in 100. What are the two integers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=2B-4
A%5E2%2BB%5E2=100
Substitute from the first equation into the second,
%282B-4%29%5E2%2BB%5E2=100
4B%5E2-16B%2B16%2BB%5E2-100=0
5B%5E2-16B-84=0
%285B%2B14%29%28B-6%29=0
We're only interested in the integer solution.
B-6=0
highlight%28B=6%29
Then,
A=2%286%29-4
A=12-4
highlight%28A=8%29