Question

Solve the equation by completing the square: 2x² - 4x = 6

Answer 1

2x² - 4x = 6
x² -2x=3
(x²-2x+1)-1 =3
(x-1)² =4
x-1 =2 or x-1 =-2
x=3 or x=-1

Answer 2

\[2(x^2-2x)=6\]\[2(x-\frac{2}{2})=6+(1^2*2)\]\[2(x-1)^2=6+2\]\[(x-1)^2=\frac{8}{2}\]\\[x-1=\sqrt{4}\]\[x=1\pm2\]\[x=3,x=-1\]