Using Bisection Method to Find Points of Intersection for y=x^3-2x+1 and y=x^2

[gomes.]

$y=x^3-2x+1$

$y=x^2$


The question says to use the bisection method to find the points of intersection of the 2 curves. I know how to use the bisection method to find the root of an equation (like on this page http://kr.cs.ait.ac.th/~radok/math/mat7/step7.htm ), but how would I use it to find the point of intersection? Thanks.

 

[fzero]

Well let $$(x_i,y_i)$$ be a point of intersection. Can you use those curves to derive an equation for which either $$x_i$$ or $$y_i$$ is a root?

 

[hotvette]

question says to use the bisection method to find the points of intersection of the 2 curves. I know how to use the bisection method to find the root of an equation (like on this page http://kr.cs.ait.ac.th/~radok/math/mat7/step7.htm ), but how would I use it to find the point of intersection? Thanks.

What do you get if you subtract one equation from the other?

 

[gomes.]

thanks, I've solved it now :)