Question 837473
the difference of two integers is 9. The sum of their square is 261. find the two integers

n-m=9 --> n = m+9
n^2 + m^2 = 261
n^2 + 2mn + m^2 = 261 *****
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n-m=9 --> n = m+9
n^2 + m^2 = 261  Sub for n
(m+9)^2 + m^2 = 261
2m^2 + 18m + 81 = 261
{{{2m^2 + 18m + 81 = 261}}}
{{{2m^2 + 18m - 180 = 0}}}
{{{m^2 + 9m - 90 = 0}}}
m = -15, m = 6

 that is all I got