Verified Answer :

Simplifying
4x4 = 12x2

Solving
4x4 = 12x2

Solving for variable 'x'.

Reorder the terms:
-12x2 + 4x4 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-12x2 + 4x4 = 0

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-3 + x2) = 0

we have

\(4x^5-12x^4+6x=5x^3-2x\)

Separate the equation above in two equations

equation \(1\)

\(y=4x^5-12x^4+6x\)

equation \(2\)

\(y=5x^3-2x\)

we know that


In a system of equations the roots of the equation \(1\) must satisfy equation \(2\) and the roots of the equation \(2\) must satisfy equation \(1\)

therefore

the answer is

The system of equations is

\(y=4x^5-12x^4+6x\)

\(y=5x^3-2x\)