We are given equation : [tex]4x^5-12x^4+6x=5x^3-2x[/tex].
We need to find the system of equations can be used to find the roots of the given equation.
We can see that left side of the equation is [tex]4x^5-12x^4+6x[/tex].
And Right side of the eqaution is [tex]5x^3-2x[/tex].
So, we could set each of the left and right side expression equal to y.
We get
[tex]y=4x^5-12x^4+6x[/tex] and
[tex]y=5x^3-2x[/tex] are the system of equations can be used to find the roots of the equation [tex]4x^5-12x^4+6x=5x^3-2x[/tex].
