Showing existence of roots of a complex number
44802
The $n$ complex $n$th roots of a complex number $z$
127727
De Moivre Complex Roots: Definition of $i$ or $\sqrt {-1}$
69067
Principal $n$th root of a complex number
107765
Prove that there exists two roots in $[-1,1]$
116206
Complex number question on proving an inequality.
73478
Show that the equation $a_1e^{\alpha_1x} + a_2e^{\alpha_2x} + \cdots + a_ne^{\alpha_nx} = 0$ has at most $n - 1$ real roots.
34709
Complex numbers - roots of unity
109760
Showing that the product of all $n$th Roots of Unity is $(-1)^{n+1}$
113993
Complex power of a complex number
2408
Show that a polynomial has at least one positive solution/root.
42165
Complex numbers and Roots of unity
73687
Powers of $i$ in Complex Numbers.
154393
Roots of polynomial with real coefficients appear in conjugate pairs.
79808
Prove the representation of complex numbers is parallelogram
38379
Showing that $e^z=z$ has infinitely many solutions
63409
If $x^2+ax+b=0$ has a rational root, show that it is in fact an integer
45711
Inequality with complex numbers