Question 1001469
It's not a quadratic equation, it's a non-linear equation. 
If it was quadratic, you could use the quadratic formula.
First find the derivative.
{{{f(x)=x^3+log(x)}}}
{{{df/dx=3x^2+1/x}}}
Graph the equation to find what starting value you should choose for the iteration.
It looks like the root is between 0 and 1.
I'll choose {{{x[0]=1}}} since the function and derivative are not defined at {{{x=0}}}
*[illustration DS4.JPG].
I let the iterations run until the change in successive x values was less than {{{10^(-6)}}}.
*[illustration DS5.JPG].