self Maths Puzzle

If x4−14x2+24x−k=0 has four real and unequal roots, find the range where k lies.

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self Other Question

A family consists of five members: P, Q, R, S and T. T has two sons, an unmarried daughter and a daughter-in-law. P is the brother-in-law of above-mentioned daughter-in-law. Q’s sister is not happy with Q’s wife. But P and his father support Q’s wife S. Who is T's daughter? If x3−6x2+11x−6=0 and x3+3x2−6x−8=0 have one common root between them. What is the value of that root?