SOLUTION: The difference of two numbers is 4 and the sum of their squares is 106. Find the numbers.

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Question 1076244: The difference of two numbers is 4 and the sum of their squares is 106. Find the numbers.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the first number. Then the second number is n+4. Then:
n²+(n+4)²=106
2n²+8n-90=0
n²+4n-45=0
(n+9)(n-5)=0
n=5 or -9
The two numbers are either 5 and 9, or -9 and -5. ☺☺☺☺