X^4=100

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Solution for X^4=100 equation:


Simplifying
X4 = 100

Solving
X4 = 100

Solving for variable 'X'.

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

Simplifying
X4 = 100

Reorder the terms:
-100 + X4 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + X4 = 0

Factor a difference between two squares.
(10 + X2)(-10 + X2) = 0

Subproblem 1

Set the factor '(10 + X2)' equal to zero and attempt to solve: Simplifying 10 + X2 = 0 Solving 10 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + X2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X2 = 0 + -10 X2 = 0 + -10 Combine like terms: 0 + -10 = -10 X2 = -10 Simplifying X2 = -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 + X2)' equal to zero and attempt to solve: Simplifying -10 + X2 = 0 Solving -10 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + X2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + X2 = 0 + 10 X2 = 0 + 10 Combine like terms: 0 + 10 = 10 X2 = 10 Simplifying X2 = 10 Take the square root of each side: X = {-3.16227766, 3.16227766}

Solution

X = {-3.16227766, 3.16227766}

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