SOLUTION: The difference between two numbers is 2, and the sum of their squares is 52. Find the numbers.

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Question 1043010: The difference between two numbers is 2, and the sum of their squares is 52. Find the numbers.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be n and n+2. Then:
n²+(n+2)²=52
n²+n²+4n-48=0
n²+2n-24=0
(n+6)(n-4)=0
n=4, -6
The numbers are 4 and 6. ☺☺☺☺