At how many points do the graph of the equations y = x^3 and y = x^2 + 4x intersect?

Guest Nov 2, 2019

#1**+2 **

Substitute y

So now you have:

x^{3}=x^{2}+4x

0 = x^{3 }- x^{2 }- 4x

This is a polynomial with a degree of 3, therefore it must have 3 solutions.

If it has 3 solutions, it has 3 intersections in the graph.

CalculatorUser Nov 2, 2019

#3**+1 **

Sorry, I tried to edit my answer, but Web2.0 didn't is glitching or something. I can't publish my answer, it just reverts back.

Just look at EP's answer, that is the correct method.

CalculatorUser
Nov 2, 2019

#2