Question

Solve the equation by completing the square.

3x^2 -6+9=0

Answer 1

Divide through by 3:


`(3x^2 -6x+9)/(3) = (0)/(3) \\ewline \\ewline x^2 -2x+3=0`

Complete the square:


`x^2 -2x +1+3=+1`


`(x-1)^2+3=+1`


`(x-1)^2=-2`


`x-1= √(-2)`


`x=-√(2) i+1`


`x=√(2) i+1`

Answer 2

The factored form would be (3x-9)(x-1)
The picture should help a bit