I am trying to understand how the anwer was found when finding points of intersection to one of my math problems? y=x3, y=x the anwers was (1,1), (0,0), (-1,-1) how do you get to this solution? x3=x x(x2-1)=0

I am trying to understand how the anwer was found when finding points of intersection to one of my math problems? y=x3, y=x the anwers was (1,1), (0,0), (-1,-1) how do you get to this solution? x3=x x(x2-1)=0

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 11AEXP

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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I am trying to understand how the anwer was found when finding points of intersection to one of my math problems?

y=x3, y=x

the anwers was (1,1), (0,0), (-1,-1) how do you get to this solution?

x3=x

x(x2-1)=0

Expert Solution

Step 1

Find the intersection points of y=x^3 and y=x.

Both the equations contains y on left side, so equate the right side of the
equations
x- x= 0
x(x-1)=0
x0 or x -1 0
x = 0 or x +1

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Solved in 2 steps with 2 images

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