Virginia Mathematics Teacher Spring 2017

So l ut i ons t o Fa l l 2016 HEXA Cha l l enge Probl ems

Let’s substitute:

Using the quadratic equation:

Consequently

In the first case, the roots are 2 and -1. In the second case, there are no real solutions. Graphically, the solution looks as follows:

February: Prove the following for any integer number, n

Virginia Mathematics Teacher vol. 43, no. 2

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