Question

how can you find the coefficient of a biquadratic equation when their roots are given

Answer 1

let the given root be alpha and beta

Answer 2

If squares of the roots of x4+bx2+cx+d=0x4+bx2+cx+d=0are α,β,γ,δα,β,γ,δ then prove that: 64αβγδ−[4Σαβ−(Σα)2]2=064αβγδ−[4Σαβ−(Σα)2]2=0

I found value of αβγδαβγδ = d2d2 and ΣαΣα = -2b.