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Simplifying x4 + 0.914x2 + 0.5 = 0 Reorder the terms: 0.5 + 0.914x2 + x4 = 0 Solving 0.5 + 0.914x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.914x2 + -0.5 + x4 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.914x2 + x4 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.914x2 + x4 = 0 + -0.5 0.914x2 + x4 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.914x2 + x4 = -0.5 The x term is 0.914x2. Take half its coefficient (0.457). Square it (0.208849) and add it to both sides. Add '0.208849' to each side of the equation. 0.914x2 + 0.208849 + x4 = -0.5 + 0.208849 Reorder the terms: 0.208849 + 0.914x2 + x4 = -0.5 + 0.208849 Combine like terms: -0.5 + 0.208849 = -0.291151 0.208849 + 0.914x2 + x4 = -0.291151 Factor a perfect square on the left side: (x2 + 0.457)(x2 + 0.457) = -0.291151 Can't calculate square root of the right side. The solution to this equation could not be determined.
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