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Simplifying (9 + 5i)(9 + -5i) = 0 Multiply (9 + 5i) * (9 + -5i) (9(9 + -5i) + 5i * (9 + -5i)) = 0 ((9 * 9 + -5i * 9) + 5i * (9 + -5i)) = 0 ((81 + -45i) + 5i * (9 + -5i)) = 0 (81 + -45i + (9 * 5i + -5i * 5i)) = 0 (81 + -45i + (45i + -25i2)) = 0 Combine like terms: -45i + 45i = 0 (81 + 0 + -25i2) = 0 (81 + -25i2) = 0 Solving 81 + -25i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -25i2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -25i2 = 0 + -81 -25i2 = 0 + -81 Combine like terms: 0 + -81 = -81 -25i2 = -81 Divide each side by '-25'. i2 = 3.24 Simplifying i2 = 3.24 Take the square root of each side: i = {-1.8, 1.8}
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