The graph of this system of equations is used to solve 4x² - 3x + 6 = 2x⁴ - 9x³ + 2x. What represents the solution set?
y intercepts of the graph
x intercepts of the graph
y coordinates of the intersection points
x coordinates of the intersection points

Solution:

Given equation is 4x² - 3x + 6 = 2x⁴ - 9x³ + 2x

y = 4x² - 3x + 6

and y = 2x⁴ - 9x³ + 2x

To find the solution set, let us rearrange it as:

2x⁴ - 9x³ - 4x² + 3x + 2x - 6 = 0

2x⁴ - 9x³ - 4x² + 5x - 6 = 0

Thus we find that this equation is equated to zero and we would get the x-intercepts only.

⇒ The roots are the values of x where the graph intersects the x-axis.

On solving this we get, x = -1.14 and 4.833

The solution set for the above equation will be given by x-intercepts of the graph.

The graph of this system of equations is used to solve 4x² - 3x + 6 = 2x⁴ - 9x³ + 2x. What represents the solution set?

Summary:

The graph of this system of equations is used to solve 4x² - 3x + 6 = 2x⁴ - 9x³ + 2x. The solution set is represented by x-intercepts of the graph.