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! Set-Up
--------
Equation 1:
Equation 2:
Solution:
----------
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
----------------
Find the factor of 10: 1,2,5,10
2 & 5 fit the equation rewrite teh equation There are two answers to solve for.
---------------
---------------
---------------
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:
----------------------
----------------------
So you have two solutions:
The numbers can be -5 and 2
or they can be -2 and 5
(