- #1

- 101

- 0

y=xcubed

x-y=0

I get to the substitution stage and get x-xcubed=0, but you can't factor that so I am wondering what you do next to get the answers for x, and y.

Thanks in advance for any help

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- Thread starter DethRose
- Start date

In summary, the conversation is about a person seeking help with a non-linear systems problem involving two functions, x^3 and x, and finding the points of interception. After attempting to factor the equation x-x^3=0, the person is unsure of how to proceed and is reminded to take out the common factor of x to get the solution. They thank the expert for their help.

- #1

- 101

- 0

y=xcubed

x-y=0

I get to the substitution stage and get x-xcubed=0, but you can't factor that so I am wondering what you do next to get the answers for x, and y.

Thanks in advance for any help

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- #2

- 149

- 0

Are you sure you can't factor that? Can you factor out an x?

- #3

- 101

- 0

if it can be factored i don't know how to do it lol

- #4

Homework Helper

- 3,149

- 8

- #5

- 101

- 0

i appologize but i don't understand what your talking about

- #6

Homework Helper

- 3,149

- 8

DethRose said:I get to the substitution stage and get x-xcubed=0, but you can't factor that so I am wondering what you do next to get the answers for x, and y.

x - x^3 = 0 => x (1 - x^2) = 0.

I assume you'll know how to solve this problem now.

- #7

- 101

- 0

thanks for the help

A nonlinear system of equations is a system of equations where the variables are raised to powers other than 1 and are multiplied or divided together. This creates a curve when graphed rather than a straight line.

Unlike linear systems, there is no one specific method for solving nonlinear systems of equations. However, some common methods include substitution, elimination, and graphing. Additionally, numerical methods such as the Newton-Raphson method can also be used.

Yes, a nonlinear system of equations can have multiple solutions. This is because the graph of a nonlinear system can intersect in multiple points, whereas a linear system can only have one solution.

Nonlinear systems of equations are important in many fields of science, including physics, engineering, and economics. They allow for more accurate modeling of real-world situations and can provide more complex and interesting solutions than linear systems.

Real-life examples of nonlinear systems of equations include population growth, chemical reactions, and pendulum motion. These systems cannot be accurately modeled using linear equations and require the use of nonlinear systems to accurately predict outcomes.

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