Today’s featured problem came from the Mathematician of Technological Institute of the Philippines – Quezon City, Joven Marzan Baltazar. He placed 2nd in the inter-department quiz bee at the same school. The problem is about tricky algebraic identity. Let’s take a look.
If , find the numerical value of .
Using the following identities:
Derived from above
Use any method to solve for u:
and the other values of u’s are imaginary.
There are a lot of other ways to solve this problem. If you have some let us know.