(2+9j)(2+9j)=

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Solution for (2+9j)(2+9j)= equation:


Simplifying
(2 + 9j)(2 + 9j) = 0

Multiply (2 + 9j) * (2 + 9j)
(2(2 + 9j) + 9j * (2 + 9j)) = 0
((2 * 2 + 9j * 2) + 9j * (2 + 9j)) = 0
((4 + 18j) + 9j * (2 + 9j)) = 0
(4 + 18j + (2 * 9j + 9j * 9j)) = 0
(4 + 18j + (18j + 81j2)) = 0

Combine like terms: 18j + 18j = 36j
(4 + 36j + 81j2) = 0

Solving
4 + 36j + 81j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(2 + 9j)(2 + 9j) = 0

Subproblem 1

Set the factor '(2 + 9j)' equal to zero and attempt to solve: Simplifying 2 + 9j = 0 Solving 2 + 9j = 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 + 9j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9j = 0 + -2 9j = 0 + -2 Combine like terms: 0 + -2 = -2 9j = -2 Divide each side by '9'. j = -0.2222222222 Simplifying j = -0.2222222222

Subproblem 2

Set the factor '(2 + 9j)' equal to zero and attempt to solve: Simplifying 2 + 9j = 0 Solving 2 + 9j = 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 + 9j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9j = 0 + -2 9j = 0 + -2 Combine like terms: 0 + -2 = -2 9j = -2 Divide each side by '9'. j = -0.2222222222 Simplifying j = -0.2222222222

Solution

j = {-0.2222222222, -0.2222222222}

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