a^4-100=0

Solution for a^4-100=0 equation:

Simplifying
a4 + -100 = 0

Reorder the terms:
-100 + a4 = 0

Solving
-100 + a4 = 0

Solving for variable 'a'.

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

Add '100' to each side of the equation.
-100 + 100 + a4 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + a4 = 0 + 100
a4 = 0 + 100

Combine like terms: 0 + 100 = 100
a4 = 100

Simplifying
a4 = 100

Reorder the terms:
-100 + a4 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + a4 = 0

Factor a difference between two squares.
(10 + a2)(-10 + a2) = 0

Subproblem 1
Set the factor '(10 + a2)' equal to zero and attempt to solve:

Simplifying
10 + a2 = 0

Solving
10 + a2 = 0

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

Add '-10' to each side of the equation.
10 + -10 + a2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + a2 = 0 + -10
a2 = 0 + -10

Combine like terms: 0 + -10 = -10
a2 = -10

Simplifying
a2 = -10

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 '(-10 + a2)' equal to zero and attempt to solve:

Simplifying
-10 + a2 = 0

Solving
-10 + a2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + a2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + a2 = 0 + 10
a2 = 0 + 10

Combine like terms: 0 + 10 = 10
a2 = 10

Simplifying
a2 = 10

Take the square root of each side:
a = {-3.16227766, 3.16227766}
Solution
a = {-3.16227766, 3.16227766}