Question 522025
m^2 – 1/2m = 7/2

m^2-1/2 m +1/16 = 7/2 +1/16

(m-1/4)^2=(56+1)/16

(m-1/4)^2=57/16

take the square root

(m-1/4)= +/- sqrt(57)/4

m=1/4+sqrt(57)/4 OR 1/4-sqrt(57)/4