4x^4-20x^2+100=0

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Solution for 4x^4-20x^2+100=0 equation:


Simplifying
4x4 + -20x2 + 100 = 0

Reorder the terms:
100 + -20x2 + 4x4 = 0

Solving
100 + -20x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(25 + -5x2 + x4) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(25 + -5x2 + x4)' equal to zero and attempt to solve: Simplifying 25 + -5x2 + x4 = 0 Solving 25 + -5x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -5x2 + -25 + x4 = 0 + -25 Reorder the terms: 25 + -25 + -5x2 + x4 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -5x2 + x4 = 0 + -25 -5x2 + x4 = 0 + -25 Combine like terms: 0 + -25 = -25 -5x2 + x4 = -25 The x term is -5x2. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x2 + 6.25 + x4 = -25 + 6.25 Reorder the terms: 6.25 + -5x2 + x4 = -25 + 6.25 Combine like terms: -25 + 6.25 = -18.75 6.25 + -5x2 + x4 = -18.75 Factor a perfect square on the left side: (x2 + -2.5)(x2 + -2.5) = -18.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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