Which system of equations can be used to find the roots of the equation 4x⁵ - 12x⁴ + 6x = 5x³ - 2x?

Solution:

Given, 4x⁵ - 12x⁴ + 6x = 5x³ - 2x

We have to find the system of equations that can be used to find the roots of the equation.

Since the given polynomial functions are equal, we have

So, y = 4x⁵ - 12x⁴ + 6x

y = 5x³ - 2x

Therefore, the system of equations are y = 4x⁵ - 12x⁴ + 6x and y = 5x³ - 2x.

Which system of equations can be used to find the roots of the equation 4x⁵ - 12x⁴ + 6x = 5x³ - 2x?

Summary:

The system of equations is y = 4x⁵ - 12x⁴ + 6x and y = 5x³ - 2x can be used to find the roots of the equation 4x⁵ - 12x⁴ + 6x = 5x³ - 2x.