Question

Which system of equations can be used to find the roots of the equation 4x5 - 12x4 + 6x = 5x? - 2x?

Answer 1

D

Explanation:

Answer 2

Last option

EXPLANATION

The given equation is

`4 {x}^(5) - 12 {x}^(4) + 6x = 5 {x}^(3) - 2x`

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

`y = 4 {x}^(5) - 12 {x}^(4) + 6x...(1)`

Equating the right hand side to y gives

`y= 5 {x}^(3) - 2x...(2)`To find the solution to

`4 {x}^(5) - 12 {x}^(4) + 6x = 5 {x}^(3) - 2x`

We graph the two equations and locate the x-values of their points of intersection.

The last option is the correct answer