Respuesta :
The factored form would be (3x-9)(x-1)
The picture should help a bit
The picture should help a bit
Divide through by 3:
[tex] \frac{3x^2 -6x+9}{3} = \frac{0}{3} \newline \newline x^2 -2x+3=0[/tex]
Complete the square:
[tex] x^2 -2x +1+3=+1[/tex]
[tex] (x-1)^2+3=+1[/tex]
[tex] (x-1)^2=-2[/tex]
[tex]x-1= \sqrt{-2} [/tex]
[tex]x=-\sqrt{2} i+1[/tex]
[tex]x=\sqrt{2} i+1[/tex]
[tex] \frac{3x^2 -6x+9}{3} = \frac{0}{3} \newline \newline x^2 -2x+3=0[/tex]
Complete the square:
[tex] x^2 -2x +1+3=+1[/tex]
[tex] (x-1)^2+3=+1[/tex]
[tex] (x-1)^2=-2[/tex]
[tex]x-1= \sqrt{-2} [/tex]
[tex]x=-\sqrt{2} i+1[/tex]
[tex]x=\sqrt{2} i+1[/tex]
