b^4=400

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Solution for b^4=400 equation:


Simplifying
b4 = 400

Solving
b4 = 400

Solving for variable 'b'.

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

Simplifying
b4 = 400

Reorder the terms:
-400 + b4 = 400 + -400

Combine like terms: 400 + -400 = 0
-400 + b4 = 0

Factor a difference between two squares.
(20 + b2)(-20 + b2) = 0

Subproblem 1

Set the factor '(20 + b2)' equal to zero and attempt to solve: Simplifying 20 + b2 = 0 Solving 20 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + b2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + b2 = 0 + -20 b2 = 0 + -20 Combine like terms: 0 + -20 = -20 b2 = -20 Simplifying b2 = -20 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 '(-20 + b2)' equal to zero and attempt to solve: Simplifying -20 + b2 = 0 Solving -20 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + b2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + b2 = 0 + 20 b2 = 0 + 20 Combine like terms: 0 + 20 = 20 b2 = 20 Simplifying b2 = 20 Take the square root of each side: b = {-4.472135955, 4.472135955}

Solution

b = {-4.472135955, 4.472135955}

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