z^4=121

Solution for z^4=121 equation:

Simplifying
z4 = 121

Solving
z4 = 121

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Simplifying
z4 = 121

Reorder the terms:
-121 + z4 = 121 + -121

Combine like terms: 121 + -121 = 0
-121 + z4 = 0

Factor a difference between two squares.
(11 + z2)(-11 + z2) = 0

Subproblem 1
Set the factor '(11 + z2)' equal to zero and attempt to solve:

Simplifying
11 + z2 = 0

Solving
11 + z2 = 0

Move all terms containing z to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + z2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + z2 = 0 + -11
z2 = 0 + -11

Combine like terms: 0 + -11 = -11
z2 = -11

Simplifying
z2 = -11

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-11 + z2)' equal to zero and attempt to solve:

Simplifying
-11 + z2 = 0

Solving
-11 + z2 = 0

Move all terms containing z to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + z2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + z2 = 0 + 11
z2 = 0 + 11

Combine like terms: 0 + 11 = 11
z2 = 11

Simplifying
z2 = 11

Take the square root of each side:
z = {-3.31662479, 3.31662479}
Solution
z = {-3.31662479, 3.31662479}