# How to use Quadratic here?

Q: Lets **a** and **b **be real numbers for which the equation **x⁴ + ax³ + bx² +ax +1 = 0** has at least one real solution. For all such pairs (a, b), find the minimum value of a²+b².

A: As there is symmetry is the coefficients, first consider the eq. y = x+ 1/x and…