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Simplifying j2 + -16j + -17 = 0 Reorder the terms: -17 + -16j + j2 = 0 Solving -17 + -16j + j2 = 0 Solving for variable 'j'. Factor a trinomial. (-1 + -1j)(17 + -1j) = 0Subproblem 1
Set the factor '(-1 + -1j)' equal to zero and attempt to solve: Simplifying -1 + -1j = 0 Solving -1 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1j = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1j = 0 + 1 -1j = 0 + 1 Combine like terms: 0 + 1 = 1 -1j = 1 Divide each side by '-1'. j = -1 Simplifying j = -1Subproblem 2
Set the factor '(17 + -1j)' equal to zero and attempt to solve: Simplifying 17 + -1j = 0 Solving 17 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1j = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1j = 0 + -17 -1j = 0 + -17 Combine like terms: 0 + -17 = -17 -1j = -17 Divide each side by '-1'. j = 17 Simplifying j = 17Solution
j = {-1, 17}
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