Question

Which system of equations can be used to find the roots of the equation 12x³-5x-2x²+x+6?

Answer 1

Let's form two

• 12x³-5x-2x²+x+6=0

Keep cube root on one side and shift rest to right

• 12x³-4x-2x²+6=0
• 12x³+6=2x²+4x

Form equations

• y=12x³+6
• y=2x²+4x

Answer 2

Answer:

y= 12x^3-5x

y=2x^2+x+6

Step-by-step explanation:

To build an equation system, make both sides of the given equation equal to the same variable.

Let y be the variable. The equation 12x^3 - 5x = 2x^2 + x + 6 thus becomes 12x^3 - 5x = y = 2x^2 + x + 6.

As a result, the equation system becomes

• y=12x^3-5x
• y=2x^2+x+6