JEE Biquadratic

Algebra Level 5

If the biquadratic

x4+ax3+bx2+cx+d=0\displaystyle x^{4} + ax^{3} + bx^{2} + cx + d = 0

With a,b,c,dRa,b,c,d \in \mathbb R

Has 4 non real roots, two with the sum 3+4i3 + 4i and the other two with product 13+i13 + i.

Then find the value of b.


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