Mathegoras

Complex numbers › Roots of unity and complex roots › Counting complex solutions

Count complex solutions of an exponential equation

University · ●●●●○ 100 pts

How many complex numbers zz such that ∣z∣<30\left| z \right| < 30 satisfy the equation ez=z−1z+1e^z = \frac{z - 1}{z + 1}?

Sign in to save your progress.

complex exponentialscounting solutionsmodulus and argument