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Simplifying x4 + -12.3x2 + 45 = 0 Reorder the terms: 45 + -12.3x2 + x4 = 0 Solving 45 + -12.3x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + -12.3x2 + -45 + x4 = 0 + -45 Reorder the terms: 45 + -45 + -12.3x2 + x4 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -12.3x2 + x4 = 0 + -45 -12.3x2 + x4 = 0 + -45 Combine like terms: 0 + -45 = -45 -12.3x2 + x4 = -45 The x term is -12.3x2. Take half its coefficient (-6.15). Square it (37.8225) and add it to both sides. Add '37.8225' to each side of the equation. -12.3x2 + 37.8225 + x4 = -45 + 37.8225 Reorder the terms: 37.8225 + -12.3x2 + x4 = -45 + 37.8225 Combine like terms: -45 + 37.8225 = -7.1775 37.8225 + -12.3x2 + x4 = -7.1775 Factor a perfect square on the left side: (x2 + -6.15)(x2 + -6.15) = -7.1775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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