How do you solve m^2-4m=3 by completing the square?

1 Answer
Jun 14, 2017

m=2+-sqrt7

Explanation:

"to "color(blue)"complete the square"

add (1/2"coefficient of m-term")^2" to both sides"

rArr"add " (-4/2)^2=4" to both sides"

rArrm^2-4mcolor(red)(+4)=3color(red)(+4)

rArr(m-2)^2=7

color(blue)"take the square root of both sides"

sqrt((m-2)^2)=+-sqrt7larr" note plus or minus"

rArrm-2=+-sqrt7

"add 2 to both sides"

rArrm=2+-sqrt7larr" exact values"