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]