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2 years ago

Which system of equations can be used to find the roots of the equation 4x2 =x3 +2x?

Mathematics

2 answers:

cricket20 [7]2 years ago

7 0

The system of equations are $\boxed{y = 4{x^2}}{\text{ and }}\boxed{y = {x^3} + 2x}$ that can be used to find the roots of the equation $4{x^2} = {x^3} + 2x.$

Further explanation:

Given:

The equation is $4{x^2} = {x^3} + 2x.$

Explanation:

The given equation is $4{x^2} = {x^3} + 2x.$

Consider the left hand side of the equation $4{x^2} = {x^3} + 2x$ .as y and the right hand side of the equation $4{x^2} = {x^3} + 2x$ as y.

$\begin{aligned}y&= 4{x^2} \hfill\\y&= {x^3} + 2x \hfill\\\end{aligned}$

To obtain the roots of the system of equation we have to solve the equations.

The system of equations are $\boxed{y = 4{x^2}}{\text{ and }}\boxed{y = {x^3} + 2x}$ that can be used to find the roots of the equation $4{x^2} = {x^3} + 2x.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomials

Keywords: polynomial, solution, linear equation, quadratic equation, system of equations, solution of the equations, $4x2 = x3 + 2x$ , roots, roots of equation.

ra1l [238]2 years ago

6 0

Answer:

<h2> $\left \{ {{y=4x^2} \atop \\ \\ {y=x^3+2x}} \right.$ </h2>

Explanation:

An equality can be transformed in a system of equations by making each side equal to a new variable. In this case the variable y was made equal to each side.

See that may find the solution of such system by graphing both functions in a same coordinate system, where the intersection of the functions would show the solution of the system.

I show you that in the attached image. In such graph, the red curve is the function y = x² and the blue function is y = x³ + 2x.

The intersection point is (0,0) meaning that the solution is x = 0, y = 0.

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Step-by-step explanation:

Data given

Campus Sample size Mean Population deviation

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2 310 31 7

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$\alpha$ Significance level provided

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Concepts and formulas to use

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Complete Question

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Step-by-step explanation:

Step 1

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Step 2

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Step 4

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