Question 625252
{{{ m^2 - (25/2)*m = 5/2  }}}
{{{ m^2 - (25/2)*m + (25/4)^2 = 5/2 + (25/4)^2 }}}
{{{ m^2 - (25/2)*m + 625/16 = 40/16 + 625/16 }}}
{{{ ( m - (25/4) )^2 = 665/16 }}}
Take the square root of both sides
{{{ m - 25/4 = sqrt(665) / 4 }}}
{{{ m = ( 25 + sqrt(665) ) / 4 }}}
and
{{{ m = ( 25 - sqrt(665) ) / 4 }}}
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maybe all you got wrong is a sign?