Question

Help Please!! Solve this equation by completing the square.

3x^2 - 4x = -2

Answer 1

make coefficient of x^2 unity
x^2-4/3x=-2/3

Answer 2

x^2-2*x*2/3+2/3=0

Answer 3

x^2-2*x*2/3+(2/3)^2-(2/3)^2+2/3=0

Answer 4

x^2-2*x*2/3+(2/3)^2=(x-2/3)^2
(x-2/3)^2-4/9+2/3=0
(x-2/3)^2-2/9=0
(x-2/3)^2=2/9
x-2/3=(2/9)^1/2
solve now

Answer 5

where did the ^1/2 come from tho?

Answer 6

(x-2/3)^2=2/9
take square root of both sides