If x6 - 12x5 + ax4 + bx3 + cx2 + dx + 64 = 0 has positive roots then find a,b,c,d.
Assume any 6 roots (positive) , AM of roots taken one at a time > GM of roots.
Here you will find that AM=GM. This implies that all the roots must be equal. Now you know the roots, just calculate it.
Here you will find that AM=GM. This implies that all the roots must be equal. Now you know the roots, just calculate it.
