Question

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

Answer 1

We are given equation : $4x^2-3x+6=2x^4-9x^3+2x$.

Let us write it in form of a system of two equations:

$y= 4x^2-3x+6$ and

$y =2x^4-9x^3+2x$

Let us put those equations on a graphing calculator to get the graphs of the above system of equations.

From the graph, we can see that y-intercepts are : (0,0) and (0,6).

x-intercepts are (-0.45, 0) (0,0), (0.5,0) and (4.45,0)

y-coordinate of the intersection points : 14.69.

x-coordinates of the intersection points : -1.15

Answer 2

Answer:

The solution is x-coordinate of the intersection points

D is correct

Step-by-step explanation:

Given: $4x^2-3x+6=2x^4-9x^3+2x$

We need to find solution of given equation.

First we make system of equation and then find intersection point of graph.

$y_1=4x^2-3x+6$

$y_2=2x^4-9x^3+2x$

Now we draw the graph of system of equation using graphing calculator.

Please see the attachment for graph.

In graph both equation intersect at two points.

Point of intersection gives the solution of the equation.

x-coordinate of the intersection of graph gives the solution because function depends on x.

Hence, The solution is x-coordinate of the intersection points