How do you solve m^2-4m=3 by completing the square?
1 Answer
Jun 14, 2017
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"