Originally Posted by

**arbolis** The problem states : Let $\displaystyle f(x)=x^3+4x^2-10$. The equation $\displaystyle f(x)=0$ has a unique root $\displaystyle r$ approximately equals to $\displaystyle 1.365230013$ in $\displaystyle [1,2]$.

Show that the following function has a fixed point in $\displaystyle r$ : $\displaystyle g(x)=\frac{\sqrt{10-x^3}}{2}$.

I'm trying to understand the fixed point signification since about 3 days but I really don't get the concept, and much less how to do exercises related to it. So if you could do this problem explaining, I will be very very grateful.