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"#
