Question 305229
m^2 - (25/2)m = 5/2


adding half of the 1st order coefficient, squared ___ m^2 - (25/2)m + (-25/4)^2 = 5/2 + (-25/4)^2


[m - (25/4)]^2 = 665/16


taking square root ___ m - (25/4) = ±[sqrt(665)]/4


m = [25 ± sqrt(665)]/4