SOLUTION: One number exceeds another by 5.The sum of their squares is 157.What are the numbers?

Question 701482: One number exceeds another by 5.The sum of their squares is 157.What are the numbers?
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
Let be one of the numbers

"One number exceeds another by 5":
then the other is

"The sum of their squares is 157":

This quadratic has two solutions: and

Consider N=6:
1st number=N=6, 2nd number=N+5=11

Consider N=-11:
1st number=N=-11, 2nd number=N+5=-6
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