ANSWER
Last option
EXPLANATION
The given equation is
[tex]4 {x}^{5} - 12 {x}^{4} + 6x = 5 {x}^{3} - 2x[/tex]
We can form a system of equations by equating each side of the equation to y.
Equating the left hand side to y, we get
[tex]y = 4 {x}^{5} - 12 {x}^{4} + 6x...(1)[/tex]
Equating the right hand side to y gives
[tex]y= 5 {x}^{3} - 2x...(2)[/tex]To find the solution to
[tex]4 {x}^{5} - 12 {x}^{4} + 6x = 5 {x}^{3} - 2x[/tex]
We graph the two equations and locate the x-values of their points of intersection.
The last option is the correct answer
