Question

Based on the graph what are the solutions of the equation x^3-6x^2+9x=0?

Answer 1

Explanation:

x³-6x²+9x=0

x(x²-6x+9)=0

x=0

or x²-6x+9=0

x²-3x-3x+9=0

x(x-3)-3(x-3)=0

(x-3)(x-3)=0

x=3,3

solutions arex=0,3(multiplicity 2)