SOLUTION: one positive integer is 4 more than another. the sum of their squares is 40. Find the numbers.

Question 79042: one positive integer is 4 more than another. the sum of their squares is 40. Find the numbers.

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be a and b.
a = b+4 and
Substitute the a = b+4 here and solve for b.
Simplify.

Now subtract 40 from both sides.
Divide through by 2 to simplify.
Solve this quadratic equation by factoring.
Apply the zero products principle.
or , so..
or Discard the negative solution as you are looking for positive integers only.

The two integers are: 2 and 6
Check:
= 40
and...

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