Nonlinear Systems of Equations Question

[DethRose]

Ive been working on a bunch of non linear systems problems for homework and can't figure this one out:

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

 

[durt]

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

 

[DethRose]

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

 

[radou]

These are two functions: f(x) = x^3 and g(x) = x. You have to find the points of interception, i.e. the points x for which f(x) = g(x).

 

[DethRose]

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

 

[radou]

Nevermind. Well, you 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.

 

[DethRose]

ahh! i got you i feel like an idiot lol. I havnt done factoring for a while and I thought if you take the x out you get x-x^2 still

thanks for the help