Z^4=324

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Solution for Z^4=324 equation:


Simplifying
Z4 = 324

Solving
Z4 = 324

Solving for variable 'Z'.

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

Simplifying
Z4 = 324

Reorder the terms:
-324 + Z4 = 324 + -324

Combine like terms: 324 + -324 = 0
-324 + Z4 = 0

Factor a difference between two squares.
(18 + Z2)(-18 + Z2) = 0

Subproblem 1

Set the factor '(18 + Z2)' equal to zero and attempt to solve: Simplifying 18 + Z2 = 0 Solving 18 + Z2 = 0 Move all terms containing Z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + Z2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + Z2 = 0 + -18 Z2 = 0 + -18 Combine like terms: 0 + -18 = -18 Z2 = -18 Simplifying Z2 = -18 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 '(-18 + Z2)' equal to zero and attempt to solve: Simplifying -18 + Z2 = 0 Solving -18 + Z2 = 0 Move all terms containing Z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + Z2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + Z2 = 0 + 18 Z2 = 0 + 18 Combine like terms: 0 + 18 = 18 Z2 = 18 Simplifying Z2 = 18 Take the square root of each side: Z = {-4.242640687, 4.242640687}

Solution

Z = {-4.242640687, 4.242640687}

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