Respuesta :

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

[tex] 4x^5-12x^4+6x=5x^3-2x [/tex]

Separate the equation above in two equations

equation [tex] 1 [/tex]

[tex] y=4x^5-12x^4+6x [/tex]

equation [tex] 2 [/tex]

[tex] y=5x^3-2x [/tex]

we know that


In a system of equations the roots of the equation [tex] 1 [/tex] must satisfy equation [tex] 2 [/tex] and the roots of the equation [tex] 2 [/tex] must satisfy equation [tex] 1 [/tex]

therefore

the answer is

The system of equations is

[tex] y=4x^5-12x^4+6x [/tex]

[tex] y=5x^3-2x [/tex]