See it carefully!

Algebra Level 5

(z+1z)+(z2+1z2)2+(z3+1z3)3++(z10+1z10)10 \left(z + \dfrac{1}{z}\right) + \left(z^2 + \dfrac{1}{z^2}\right)^2 + \left(z^3 + \dfrac{1}{z^3}\right)^3 + \cdots + \left(z^{10} + \dfrac{1}{z^{10}}\right)^{10}

If zz is a complex number satisfying z2+z+1=0z^2 + z + 1 = 0, then what is the value of the expression above?


Original problem
×

Problem Loading...

Note Loading...

Set Loading...