SOLUTION: two numbers differ by 7 and the sum of their squares is 29. find the numbers

Question 298382: two numbers differ by 7 and the sum of their squares is 29. find the numbers
Found 2 solutions by JBarnum, Stitch:
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!

Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Set-Up
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Equation 1:
Equation 2:
Solution:
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Plug (B+7) into equation 2 for A
Equation 2:
Expand
Combine like terms
Subtract 29 from both sides
Factor out a 2 on the left side
Divides both sides by 2

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Find the factor of 10: 1,2,5,10
2 & 5 fit the equation
rewrite teh equation
There are two answers to solve for.
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Note that sice you have 2 B values, you will need to find 2 A values
Plug the B values into equation 1 to find A
Equation 1:
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So you have two solutions:
The numbers can be -5 and 2
or they can be -2 and 5

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