Question

Determine the number of solutions of the equation in the complex number system.

50 - 2x^4 = 0

Answer 1

Step 1 :

The Fundamental Theorem of algebra :

A degree polynomial equation has precisely n solutions in the complex number system.

The equation is .

The degree of the above equation is 4.

Since the degree is 4, the equation has four solutions in the complex number system.

Solution :

The equation has four solutions in the complex number system.