How do you solve using the completing the square method m^2 - 10m = 3?

1 Answer
Apr 26, 2017

m = 10.29" or "m = 0.29

Explanation:

You would like to change the given equation into the form

(x +b)^2 = c so that you can find the square roots and solve.

m^2color(blue)(-10)m =3

Add on color(blue)((b/2)^2) to both sides: color(blue)(((-10)/2)^2 = 25)

m^2 -10 mcolor(blue)(+25) = 3 color(blue)(+25)

color(white)(....)(m-5)^2" " = 28

color(white)(.............)m - 5 = +-sqrt28

color(white)(....................)m = 5+-sqrt28

m = 10.29" or "m = 0.29