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Simplifying (8 + -11i)(8 + -11i) = -57 + -176i Multiply (8 + -11i) * (8 + -11i) (8(8 + -11i) + -11i * (8 + -11i)) = -57 + -176i ((8 * 8 + -11i * 8) + -11i * (8 + -11i)) = -57 + -176i ((64 + -88i) + -11i * (8 + -11i)) = -57 + -176i (64 + -88i + (8 * -11i + -11i * -11i)) = -57 + -176i (64 + -88i + (-88i + 121i2)) = -57 + -176i Combine like terms: -88i + -88i = -176i (64 + -176i + 121i2) = -57 + -176i Add '176i' to each side of the equation. 64 + -176i + 176i + 121i2 = -57 + -176i + 176i Combine like terms: -176i + 176i = 0 64 + 0 + 121i2 = -57 + -176i + 176i 64 + 121i2 = -57 + -176i + 176i Combine like terms: -176i + 176i = 0 64 + 121i2 = -57 + 0 64 + 121i2 = -57 Solving 64 + 121i2 = -57 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 121i2 = -57 + -64 Combine like terms: 64 + -64 = 0 0 + 121i2 = -57 + -64 121i2 = -57 + -64 Combine like terms: -57 + -64 = -121 121i2 = -121 Divide each side by '121'. i2 = -1 Simplifying i2 = -1 Reorder the terms: 1 + i2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + i2 = 0 The solution to this equation could not be determined.
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