SOLUTION: One number is 6 less than the other. The sum of the squares of these two numbers is 20. What are the numbers?

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Question 950784: One number is 6 less than the other. The sum of the squares of these two numbers is 20. What are the numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=B-6
A%5E2%2BB%5E2=20
%28B-6%29%5E2%2BB%5E2=20
B%5E2-12B%2B36%2BB%5E2=20
2B%5E2-12B%2B16=0
B%5E2-6B%2B8=0
%28B-2%29%28B-4%29=0
Two solutions:
B-2=0
B=2
Then,
A=2-6
A=-4
and
B-4=0
B=4
Then,
A=4-6
A=-2