Respuesta :
Finding the roots of an equation is done using the equation systems [tex]y=2x^{3}+4x^{2} -x+5[/tex] & [tex]y= -3x^{2} +4x+9[/tex] .
Determining the roots of the equation
This equation seems to have the following form:[tex]2x^{3}+4x^{2} -x+5= -3x^{2} +4x+9[/tex]
We must assess the appropriate set of equations that may be utilized to identify the equation's roots.
By drawing the equations' graph, we may determine the equation's root. We can suppose that the left and right sides of the following equations are two independent equations for the sake of graphing.
Therefore,
[tex]y=2x^{3}+4x^{2} -x+5[/tex]
[tex]y= -3x^{2} +4x+9[/tex]
The graphs of these two equations are now shown in the identical coordinate plane. The roots of the equation given will be the crossing point(s).
The equation system that we may utilize to get the root of the formula given is thus,
[tex]y=2x^{3}+4x^{2} -x+5[/tex]
[tex]y= -3x^{2} +4x+9[/tex]
So, the correct answer is option C.
Learn more about the roots of the equation here:
https://brainly.com/question/12029673
#SPJ4
