Which system of equations can be used to find the roots of the equation 12 x 3-5x=2 x 2+x+6

a. y= 12x3-5x
y=2x2+x+6
b. y=12x3-5x+6
y=2x2+x
c. y=12x3+2x2-4x
y=6
d. y=12x3+2x2-4x+6
y=0

Option (a) is correct.

The system of equation becomes

Step-by-step explanation:

Given : Equation  

We have to construct a  system of equations that  can be used to find the roots of the equation

Consider the given equation

To construct a system of equation put both sides of the given equation equal to a same variable.

Let the variable be "y", Then the equation

becomes,

Thus, The system of equation becomes

Option (a) is correct.

The system of equations are that can be used to find the roots of the equation Option (a) is correct.

Further explanation:

Given:

The equation is

The options are as follows,

(a).

(b).

(c).

(d).

Explanation:

The given equation is

Consider the left hand side of the equation as y and the right hand side of the equation as y.

The equation matches with option (a). Hence, option (a) is correct.

The system of equations are that can be used to find the roots of the equation . Option (a) is correct.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomials

Keywords: polynomial, solution, linear equation, quadratic equation, system of equations, solution of the equations.