ANSWER
x coordinates of the intersection points
EXPLANATION
The given system of equations is:
![y = 4 {x}^(2) - 3x + 6](https://img.qammunity.org/2020/formulas/mathematics/high-school/ahijl9aabqwpki4qsfziinkzwz67pgl9iz.png)
![y = 2 {x}^(4) - 9 {x}^(3) + 2x](https://img.qammunity.org/2020/formulas/mathematics/high-school/ry3ecjf86w44xl3thfs32uhep00ecinky7.png)
We want to use the graph of these functions to solve
![4 {x}^(2) - 3x + 6 = 2 {x}^(4) - 9 {x}^(3) + 2x](https://img.qammunity.org/2020/formulas/mathematics/high-school/4pqo4u4xypeisho94glkgk8rw2azzrs02u.png)
The point of the intersection of the graph gives the solution to the simultaneous equation above.
Hence the x-coordinates of the intersection points gives the solution set of
![4 {x}^(2) - 3x + 6 = 2 {x}^(4) - 9 {x}^(3) + 2x](https://img.qammunity.org/2020/formulas/mathematics/high-school/4pqo4u4xypeisho94glkgk8rw2azzrs02u.png)
The last choice is correct.