I was asked to consider the equation $(x-3)(x+3)^2=c$
I have been asked to find the values of C in which the equation has:
- three distinct roots only
- one real root
- a double root and a single root
I imagined the equation as $(x-3)(x+3)^2=y$ and drew this:
But that is all I have done so far, any help is appreciated.