Parallelego my eggo

Algebra Level 5

Find the sum of squares of all real values of the parameter \(a\), such that the polynomial \[f_a(x)= x^4-6x^3+11ax^2-3(2a^2+3a-3)x+1\] has four distinct complex roots, that form a parallelogram when plotted on the Argand diagram.

×

Problem Loading...

Note Loading...

Set Loading...