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Prove that at least one of the numbers 4a-b^2, 4b-c^2, 4c-a^2 is less than or equal to 4. I don't really know how to approach this, any help would be appreciated.

thanks

i) x^3 + px + q = 0 has a root of multiplicity 2. Show 27q^2 + 4p^3=0 ii) Find the third root I know how to do i) but I'm not sure what the answer is for ii) I managed to get +-2sqrt(p/3) as an answer but I'm pretty sure that's not what they're looking for.