X^4=.49

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Solution for X^4=.49 equation:


Simplifying
X4 = 0.49

Solving
X4 = 0.49

Solving for variable 'X'.

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

Simplifying
X4 = 0.49

Reorder the terms:
-0.49 + X4 = 0.49 + -0.49

Combine like terms: 0.49 + -0.49 = 0.00
-0.49 + X4 = 0.00

Factor a difference between two squares.
(0.7 + X2)(-0.7 + X2) = 0.00

Subproblem 1

Set the factor '(0.7 + X2)' equal to zero and attempt to solve: Simplifying 0.7 + X2 = 0 Solving 0.7 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + X2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + X2 = 0 + -0.7 X2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 X2 = -0.7 Simplifying X2 = -0.7 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 '(-0.7 + X2)' equal to zero and attempt to solve: Simplifying -0.7 + X2 = 0 Solving -0.7 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '0.7' to each side of the equation. -0.7 + 0.7 + X2 = 0 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + X2 = 0 + 0.7 X2 = 0 + 0.7 Combine like terms: 0 + 0.7 = 0.7 X2 = 0.7 Simplifying X2 = 0.7 Take the square root of each side: X = {-0.836660027, 0.836660027}

Solution

X = {-0.836660027, 0.836660027}

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