How do you solve using the completing the square method x^2 - 2x = 0?
1 Answer
Apr 3, 2017
Explanation:
To
color(blue)"complete the square " on the left side of the equation.
• " add " (1/2 "coefficient of the x term")^2 to both sides.
"That is " ((-2)/2)^2=1
rArrx^2-2xcolor(red)(+1)=0color(red)(+1)
rArr(x-1)^2=1
"Take " color(blue)"the square root of both sides"
sqrt((x-1)^2)=+-sqrt1
rArrx-1=+-1
rArrx=+1+1=2larrcolor(red)"first solution" " or"
x=-1+1=0larrcolor(red)" second solution"
