1. The problem statement, all variables and given/known data Determine how many real numbers satisfy the equation x3-6x2+1=0. Give reasons for your answer naming any theorems you use. 2. The attempt at a solution let:f(x)=x3-6x2+1 →f'(x)=3x2-12x for stationary points:f'(x)=0 →3x(x-4)=0 ∴x=0 or x=4 to determine if minimum or maximum points: f''(x)=6x-12 →f''(0)=-12<0 →f''(4)=12>0 ∴(0,1) is a maximum point. ∴(4,-31) is a minimum point. Not sure how to finish. I know it has 3 solutions, but I'm not sure as how to express my answer in the correct format. Help?