X^4-56=140

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Solution for X^4-56=140 equation:


Simplifying
X4 + -56 = 140

Reorder the terms:
-56 + X4 = 140

Solving
-56 + X4 = 140

Solving for variable 'X'.

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

Add '56' to each side of the equation.
-56 + 56 + X4 = 140 + 56

Combine like terms: -56 + 56 = 0
0 + X4 = 140 + 56
X4 = 140 + 56

Combine like terms: 140 + 56 = 196
X4 = 196

Simplifying
X4 = 196

Reorder the terms:
-196 + X4 = 196 + -196

Combine like terms: 196 + -196 = 0
-196 + X4 = 0

Factor a difference between two squares.
(14 + X2)(-14 + X2) = 0

Subproblem 1

Set the factor '(14 + X2)' equal to zero and attempt to solve: Simplifying 14 + X2 = 0 Solving 14 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + X2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + X2 = 0 + -14 X2 = 0 + -14 Combine like terms: 0 + -14 = -14 X2 = -14 Simplifying X2 = -14 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 '(-14 + X2)' equal to zero and attempt to solve: Simplifying -14 + X2 = 0 Solving -14 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + X2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + X2 = 0 + 14 X2 = 0 + 14 Combine like terms: 0 + 14 = 14 X2 = 14 Simplifying X2 = 14 Take the square root of each side: X = {-3.741657387, 3.741657387}

Solution

X = {-3.741657387, 3.741657387}

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