SOLUTION: A positive real number is 4 more than another. If the sum of the squares of the two numbers is 72, find the numbers.

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Question 1077714: A positive real number is 4 more than another. If the sum of the squares of the two numbers is 72, find the numbers.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be n and n+4. Then:
n²+(n+4)²=72
2n²+8n-56=0
n²+4n-28=0
Using the quadratic formula, we get a positive value for n of 3.65685424949. So, our two numbers are 3.65685424949 and 7.65685424949. ☺☺☺☺