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Simplifying j2 + -11j = 26 Reorder the terms: -11j + j2 = 26 Solving -11j + j2 = 26 Solving for variable 'j'. Reorder the terms: -26 + -11j + j2 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + -11j + j2 = 0 Factor a trinomial. (-2 + -1j)(13 + -1j) = 0Subproblem 1
Set the factor '(-2 + -1j)' equal to zero and attempt to solve: Simplifying -2 + -1j = 0 Solving -2 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1j = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1j = 0 + 2 -1j = 0 + 2 Combine like terms: 0 + 2 = 2 -1j = 2 Divide each side by '-1'. j = -2 Simplifying j = -2Subproblem 2
Set the factor '(13 + -1j)' equal to zero and attempt to solve: Simplifying 13 + -1j = 0 Solving 13 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1j = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1j = 0 + -13 -1j = 0 + -13 Combine like terms: 0 + -13 = -13 -1j = -13 Divide each side by '-1'. j = 13 Simplifying j = 13Solution
j = {-2, 13}
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