A^4=20736

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Solution for A^4=20736 equation:


Simplifying
A4 = 20736

Solving
A4 = 20736

Solving for variable 'A'.

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

Simplifying
A4 = 20736

Reorder the terms:
-20736 + A4 = 20736 + -20736

Combine like terms: 20736 + -20736 = 0
-20736 + A4 = 0

Factor a difference between two squares.
(144 + A2)(-144 + A2) = 0

Factor a difference between two squares.
(144 + A2)((12 + A)(-12 + A)) = 0

Subproblem 1

Set the factor '(144 + A2)' equal to zero and attempt to solve: Simplifying 144 + A2 = 0 Solving 144 + A2 = 0 Move all terms containing A to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + A2 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + A2 = 0 + -144 A2 = 0 + -144 Combine like terms: 0 + -144 = -144 A2 = -144 Simplifying A2 = -144 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 '(12 + A)' equal to zero and attempt to solve: Simplifying 12 + A = 0 Solving 12 + A = 0 Move all terms containing A to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + A = 0 + -12 Combine like terms: 12 + -12 = 0 0 + A = 0 + -12 A = 0 + -12 Combine like terms: 0 + -12 = -12 A = -12 Simplifying A = -12

Subproblem 3

Set the factor '(-12 + A)' equal to zero and attempt to solve: Simplifying -12 + A = 0 Solving -12 + A = 0 Move all terms containing A to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + A = 0 + 12 Combine like terms: -12 + 12 = 0 0 + A = 0 + 12 A = 0 + 12 Combine like terms: 0 + 12 = 12 A = 12 Simplifying A = 12

Solution

A = {-12, 12}

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