SOLUTION: if the difference of two numbers is 8 and their product is 17, what is the sum od their squares ?

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Question 316455: if the difference of two numbers is 8 and their product is 17, what is the sum od their squares ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be the numbers.
A-B=8
AB=17
You know that
%28A-B%29%5E2=A%5E2-2AB%2BB%5E2
A%5E2%2BB%5E2=%28A-B%29%5E2%2B2AB
A%5E2%2BB%5E2=%288%29%5E2%2B2%2817%29
A%5E2%2BB%5E2=64%2B34
highlight%28A%5E2%2BB%5E2=98%29