Let a R and let , be the roots of the equation x^2+60^ 1/4 x+a=0. If ^4+ ^4=-30, then the product of all...

Question

Let a R and let , be the roots of the equation x^2+60^ 1/4 x+a=0. If ^4+ ^4=-30, then the product of all possible values of a is __________

Accepted Answer

45

JEE Main 2023 Mathematics question