Question 101978
1/x+x^2+x^2=100
2x^2+1/x=100
2x^3+1=100x multiply time x to eliminate fraction.
2x^3-100x+1=0
As you can see from the graph there are 3 answers.
x=-7.08..., x=.01, x=7.07...
Ed
{{{graph(500,500,-10,10,-1000,1000,2x^3-100x+1)}}}