Taking these type of problems to a new level

Algebra Level 4

Suppose that a real number \(x\) satisfies the equation

\(x^2+\frac{1}{x^2}=3\)

Define a sequence \(a_{n}\) as \(a_{n}=x^n+\frac{1}{x^n}\). How many of \(a_{1}, a_{2}, \cdots a_{1000}\) are integers?

×

Problem Loading...

Note Loading...

Set Loading...