Parallelego my eggo

Algebra Level 5

Find the sum of squares of all real values of the parameter aa, such that the polynomial fa(x)=x46x3+11ax23(2a2+3a3)x+1f_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...