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Simplifying x4 + 12x2 + 41 = 0 Reorder the terms: 41 + 12x2 + x4 = 0 Solving 41 + 12x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + 12x2 + -41 + x4 = 0 + -41 Reorder the terms: 41 + -41 + 12x2 + x4 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 12x2 + x4 = 0 + -41 12x2 + x4 = 0 + -41 Combine like terms: 0 + -41 = -41 12x2 + x4 = -41 The x term is 12x2. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x2 + 36 + x4 = -41 + 36 Reorder the terms: 36 + 12x2 + x4 = -41 + 36 Combine like terms: -41 + 36 = -5 36 + 12x2 + x4 = -5 Factor a perfect square on the left side: (x2 + 6)(x2 + 6) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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