5x^4-3x^2-14=0

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Solution for 5x^4-3x^2-14=0 equation:


Simplifying
5x4 + -3x2 + -14 = 0

Reorder the terms:
-14 + -3x2 + 5x4 = 0

Solving
-14 + -3x2 + 5x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -5x2)(2 + -1x2) = 0

Subproblem 1

Set the factor '(-7 + -5x2)' equal to zero and attempt to solve: Simplifying -7 + -5x2 = 0 Solving -7 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x2 = 0 + 7 -5x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -5x2 = 7 Divide each side by '-5'. x2 = -1.4 Simplifying x2 = -1.4 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 '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}

Solution

x = {-1.414213562, 1.414213562}

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