JEE Main 2016 (13)

Algebra Level 5

If \(a,b\) are the roots of \(x^{2}+\omega x-\frac{1}{2\omega ^{2}}=0\), where \(\omega \) is a positive constant, find the minimum value of \(a^{4}+b^{4}\).

Try my set JEE Main 2016.