25 Sept 2013

OEMO Beginners 2001 Q2: Middle Secondary Mathematics Competition Question

We consider the quadratic equation x2 - 2mx - 1 = 0, where m is an arbitrary real number.

For which values of m does the equation have two real solutions, such that the sum of their cubes equals eight times their sum.

[OEMO Beginners 2001 Q2]

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