Respuesta :

We have the following equation

[tex]r^3+r^2=r^2-64[/tex]

and we want to find r.

We can note that the term r squared is in both sides, then we can cancel r^2 out and get

[tex]r^3=64[/tex]

By applying cubic root in both sides, we have

[tex]r=\sqrt[3]{64}[/tex]

then, the answer is

[tex]r=4[/tex]