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

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Answer 1 · 2017-04-26T13:03:19

# m = 10.29" or "m = 0.29#

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#