The equation x
5 –23x
3 –66x
2 +px +q =0 has three non-zero roots, and two of them are integers, with multiplicity 2.
Find p and q and determine all the roots of the given equation.
(In reply to
re: Who needs p and q? (SPOILER) by Federico Kereki)
Oops, painting face red... K Sengupta was quite subtle with his reference to a "minor typographical error"... a few little, short, smallish, dashes went AWOL!
OK, the answer is -2, -2, -1, -1, and 6 instead of 2, 2, 1, 1, and -6.