Problem 66 (difficulty: 2/10)

Prove that \(\displaystyle x^2+\dfrac1{x^2}\geq 2\) if \(\displaystyle x\neq 0\).

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government