we have
[tex]\begin{gathered} y\: =\: 3x^2-6x+\: 3 \\ \text{solution} \\ x=1 \end{gathered}[/tex]answer: one real solution
[tex]\begin{gathered} y=-2x^2+9x-11 \\ \text{solution} \\ x=\frac{9}{4}-i\frac{\sqrt{7}}{4},\: x=\frac{9}{4}+i\frac{\sqrt{7}}{4} \end{gathered}[/tex]answer: two complex solutions
[tex]\begin{gathered} y=-x^2-4x+7 \\ \text{solution} \\ x=-2-\sqrt{11},\: x=\sqrt{11}-2 \end{gathered}[/tex]answer: two real solutions
