self Maths Puzzle

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?

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self Other Question

If x4−14x2+24x−k=0 has four real and unequal roots, find the range where k lies. If a + b + c = 21, find the maximum value of abc.