Question

I need step by step doing the problemIm supposed to know how to get the x intercept

Answer 1

Given:

$f(x)=x^3-12y^2+x-2y$

Required:

We need to find the x-intercept.

Explanation:

Substitute f(x)=0 and y =0 in the given equation to find the x-intercept.

$0=x^3-12(0)+x-2(0)$$0=x^3+x$$0=x(x^2+1)$$x=0,x^2+1=0$$x=0,x^2=-1$$x=0,x=\pm\sqrt{-1}$$x=0,x=\pm i$

The real x-intercepts is x =0.

Final answer:

The real x-intercepts is x =0.