SOLUTION: Can someone help with this please Solve by completing the square. m squared - (25 over 2)m = 5 over 2 The solutions are ? (hint Use redicalsas needed. Use a comma to s

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Can someone help with this please Solve by completing the square. m squared - (25 over 2)m = 5 over 2 The solutions are ? (hint Use redicalsas needed. Use a comma to s      Log On


   



Question 259080: Can someone help with this please
Solve by completing the square.
m squared - (25 over 2)m = 5 over 2
The solutions are ?
(hint Use redicalsas needed. Use a comma to separate answers.)
THank you for your help

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
"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%2F4%2A%2825%2B+sqrt%28665%29%29
and
m=1%2F4%2A%2825-+sqrt%28665%29%29

1%2F4%2A%2825%2B+sqrt%28665%29%29,1%2F4%2A%2825-+sqrt%28665%29%29