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Simplifying (9 + -8i)(9 + -8i) = 0 Multiply (9 + -8i) * (9 + -8i) (9(9 + -8i) + -8i * (9 + -8i)) = 0 ((9 * 9 + -8i * 9) + -8i * (9 + -8i)) = 0 ((81 + -72i) + -8i * (9 + -8i)) = 0 (81 + -72i + (9 * -8i + -8i * -8i)) = 0 (81 + -72i + (-72i + 64i2)) = 0 Combine like terms: -72i + -72i = -144i (81 + -144i + 64i2) = 0 Solving 81 + -144i + 64i2 = 0 Solving for variable 'i'. Factor a trinomial. (9 + -8i)(9 + -8i) = 0Subproblem 1
Set the factor '(9 + -8i)' equal to zero and attempt to solve: Simplifying 9 + -8i = 0 Solving 9 + -8i = 0 Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8i = 0 + -9 -8i = 0 + -9 Combine like terms: 0 + -9 = -9 -8i = -9 Divide each side by '-8'. i = 1.125 Simplifying i = 1.125Subproblem 2
Set the factor '(9 + -8i)' equal to zero and attempt to solve: Simplifying 9 + -8i = 0 Solving 9 + -8i = 0 Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8i = 0 + -9 -8i = 0 + -9 Combine like terms: 0 + -9 = -9 -8i = -9 Divide each side by '-8'. i = 1.125 Simplifying i = 1.125Solution
i = {1.125, 1.125}
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