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Hi, I have the following problem and have little idea how to go about doing it:

For which values ofkdoes (k+1)x^2-4kx+3k=0 have:

(i) one solution?

(ii) two solutions?

(iii) three solutions?

I know I need to find the discriminant then sub in to find 1, 2 and no solutions (I think?). I know how to do simple versions of these, but this just confuses me.

Attached a photo of my attempt at the first step (finding the discriminant) before subbing in to find 1, 2 and no solutions.

Thank you for any help.

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