Question

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

Answer 1

Answer:

A $\left\{\begin{array}{l}y=12x^3-5x\\ \\y=2x^2+x+6\end{array}\right.$

Step-by-step explanation:

The equation $12x^3-5x=2x^2+x+6$ have in both sides expressions $12x^3-5x$ and $2x^2+x+6.$

Therefore, the system of two equations

$\left\{\begin{array}{l}y=12x^3-5x\\ \\y=2x^2+x+6\end{array}\right.$

has the solution (x,y), where x is the solution of the equation above.

Answer 2

ANSWER

$y = 12 {x}^{3} - 5x$

{

$y= 2 {x}^{2} + x + 6$

EXPLANATION

The given equation is

$12 {x}^{3} - 5x = 2 {x}^{2} + x + 6$

To find the system of equations, we just have to equate each side of the equation to y and form two different equations.

The left sides gives one equation,

$y = 12 {x}^{3} - 5x$

The right side also gives,

$y= 2 {x}^{2} + x + 6$

Hence the correct choice is A