Which system of equations can be used to find the roots of the equation 4x^2=x^3+2x?

The system of equations form is and  and roots of the roots of the equation are x=0 and x=0.5861.

Step-by-step explanation:

Given : Equation

To find : Which system of equations can be used to find the roots of the equation?

Solution :

To form the system of equation an equality is formed by making each side equal to a new variable.

So, The system of equations form is

.....(1)

 .....(2)

Now, To solve the system of equation we solve it graphically,

Plot both the equations,

represented with green line.

represented with red line.

Refer the attached figure below.

Now, the intersection of both the lines are the solution of the system.

The intersection points are (0,0) and (0.586,1.373).

The roots of the equation are x=0 and x=0.5861.

Therefore, The required answers are

The system of equations form is and  and roots of the roots of the equation are x=0 and x=0.5861.

if you mean

then it's c. 8, -7/3

but if you mean

then it is