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Simplifying 1 + -1i + i2 = 0 Solving 1 + -1i + i2 = 0 Solving for variable 'i'. Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1i + -1 + i2 = 0 + -1 Reorder the terms: 1 + -1 + -1i + i2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1i + i2 = 0 + -1 -1i + i2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1i + i2 = -1 The i term is -1i. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1i + 0.25 + i2 = -1 + 0.25 Reorder the terms: 0.25 + -1i + i2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + -1i + i2 = -0.75 Factor a perfect square on the left side: (i + -0.5)(i + -0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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