Question

Match each equation with its number of unique solutions. y = 3x2 - 6x + 3 y = -202 + 90 – 11 y = -x2 - 4x + 7 Two Real Solutions One Real Solution One Complex Solution Two Complex Solutions

Answer 1

we have

`\begin{gathered} y\: =\: 3x^2-6x+\: 3 \\ \text{solution} \\ x=1 \end{gathered}`

answer: one real solution

`\begin{gathered} y=-2x^2+9x-11 \\ \text{solution} \\ x=(9)/(4)-i(√(7))/(4),\: x=(9)/(4)+i(√(7))/(4) \end{gathered}`

answer: two complex solutions

`\begin{gathered} y=-x^2-4x+7 \\ \text{solution} \\ x=-2-√(11),\: x=√(11)-2 \end{gathered}`

answer: two real solutions