Question 259080
"Use redicalsas needed."
I am not sure I know how! It has been a long time since I used any redicalsas.
Needed or not! lol.

 Use a comma to separate answers.
How generous they are with commas today!
m^2-25m/2=5/2

to complete the square we take 1/2 of  the coefficient of m and and square it.
(25/4)^2 and add it to both sides.
m^2-25m/2+625/16=40/16+625/16=665/16
now we take the square root of both sides
(m-25/4)^2=sqrt(665/16)
m=25/4+\- sqrt(665/16)
m=25/4+ sqrt(665/16)
m=25/4- sqrt(665/16)

{{{m=1/4*(25+ sqrt(665))}}}
and 
{{{m=1/4*(25- sqrt(665))}}}


{{{1/4*(25+ sqrt(665))}}},{{{1/4*(25- sqrt(665))}}}