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Simplifying (5 + -11i)(5 + 11i) = 0 Multiply (5 + -11i) * (5 + 11i) (5(5 + 11i) + -11i * (5 + 11i)) = 0 ((5 * 5 + 11i * 5) + -11i * (5 + 11i)) = 0 ((25 + 55i) + -11i * (5 + 11i)) = 0 (25 + 55i + (5 * -11i + 11i * -11i)) = 0 (25 + 55i + (-55i + -121i2)) = 0 Combine like terms: 55i + -55i = 0 (25 + 0 + -121i2) = 0 (25 + -121i2) = 0 Solving 25 + -121i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -121i2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -121i2 = 0 + -25 -121i2 = 0 + -25 Combine like terms: 0 + -25 = -25 -121i2 = -25 Divide each side by '-121'. i2 = 0.2066115702 Simplifying i2 = 0.2066115702 Take the square root of each side: i = {-0.454545454, 0.454545454}
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