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Simplifying (8 + -11i)(8 + -11i) = 0 Multiply (8 + -11i) * (8 + -11i) (8(8 + -11i) + -11i * (8 + -11i)) = 0 ((8 * 8 + -11i * 8) + -11i * (8 + -11i)) = 0 ((64 + -88i) + -11i * (8 + -11i)) = 0 (64 + -88i + (8 * -11i + -11i * -11i)) = 0 (64 + -88i + (-88i + 121i2)) = 0 Combine like terms: -88i + -88i = -176i (64 + -176i + 121i2) = 0 Solving 64 + -176i + 121i2 = 0 Solving for variable 'i'. Factor a trinomial. (8 + -11i)(8 + -11i) = 0Subproblem 1
Set the factor '(8 + -11i)' equal to zero and attempt to solve: Simplifying 8 + -11i = 0 Solving 8 + -11i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -11i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11i = 0 + -8 -11i = 0 + -8 Combine like terms: 0 + -8 = -8 -11i = -8 Divide each side by '-11'. i = 0.7272727273 Simplifying i = 0.7272727273Subproblem 2
Set the factor '(8 + -11i)' equal to zero and attempt to solve: Simplifying 8 + -11i = 0 Solving 8 + -11i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -11i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11i = 0 + -8 -11i = 0 + -8 Combine like terms: 0 + -8 = -8 -11i = -8 Divide each side by '-11'. i = 0.7272727273 Simplifying i = 0.7272727273Solution
i = {0.7272727273, 0.7272727273}
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