SOLUTION: find two integers that differ by 6 while their squares differ by 132
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Question 276270: find two integers that differ by 6 while their squares differ by 132
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let
represent one of the integers.
Let
represent the other one.
and
Solve the first equation for either of the variables. I choose to solve for
:
Substitute the expression in
that is equal to
for
in the second equation:
Expand and simplify:
And then the other number must be 8
Check:
John

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