Mathematics: Which system of equations can be used to find the roots of the equation 12 x 3-5x=2 x 2+x+6a. y= 12x3-5x y=2x2+x+6b. y=12x3-5x+6 y=2x2+xc. y=12x3+2x2-4x y=6d. y=12x3+2x2-4x+6 y=0

y = 3x - 73 = slope-7 = y interceptThis line would cross the y intercept at -7, and go up by 3 (slope). ...

Which system of equations can be used to find the

Ответ:

adrianwoods1507

07.01.2022

Mathematics

Option (a) is correct.

The system of equation becomes

$y=12x^3-5x\\\\ y=2x^2+x+6$

Step-by-step explanation:

Given : Equation 12x^3-5x=2x^2+x+6

We have to construct a system of equations that can be used to find the roots of the equation 12x^3-5x=2x^2+x+6

Consider the given equation 12x^3-5x=2x^2+x+6

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 12x^3-5x=2x^2+x+6

becomes,

12x^3-5x=y=2x^2+x+6

Thus, The system of equation becomes

$y=12x^3-5x\\\\ y=2x^2+x+6$

Option (a) is correct.

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Ответ:

chawnholliday8673

07.01.2022

Mathematics

The system of equations are $\boxed{y = 12{x^3} - 5x}{\text{ and }}\boxed{y = 2{x^2} + x + 6}$ that can be used to find the roots of the equation $12{x^3} - 5x = 2{x^2} + x + 6.$ Option (a) is correct.

Further explanation:

Given:

The equation is $12{x^3} - 5x = 2{x^2} + x + 6.$

The options are as follows,

(a). $y = 12{x^3} - 5x{\text{ and }}y = 2{x^2} + x + 6$

(b). $y = 12{x^3} - 5x + 6{\text{ and }}y = 2{x^2} + x$

(c). $y = 12{x^3} + 2{x^2} - 4x{\text{ and }}y = 6$

(d). $y = 12{x^3} + 2{x^2} - 4x + 6{\text{ and }}y = 0$

Explanation:

The given equation is $12{x^3} - 5x = 2{x^2} + x + 6.$

Consider the left hand side of the equation $12{x^3} - 5x = 2{x^2} + x + 6$ as y and the right hand side of the equation $12{x^3} - 5x = 2{x^2} + x + 6$ as y.

$\begin{aligned}y&= 12{x^3} - 5x\\y &= 2{x^2} + x + 6 \\ \end{aligned}$

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

The system of equations are $\boxed{y = 12{x^3} - 5x}{\text{ and }}\boxed{y = 2{x^2} + x + 6}$ that can be used to find the roots of the equation $12{x^3} - 5x = 2{x^2} + x + 6$ . Option (a) is correct.

Learn more:

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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.

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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

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