z^2+4iz-13=0

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Solution for z^2+4iz-13=0 equation:


Simplifying
z2 + 4iz + -13 = 0

Reorder the terms:
-13 + 4iz + z2 = 0

Solving
-13 + 4iz + z2 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 4iz + 13 + z2 = 0 + 13

Reorder the terms:
-13 + 13 + 4iz + z2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 4iz + z2 = 0 + 13
4iz + z2 = 0 + 13

Combine like terms: 0 + 13 = 13
4iz + z2 = 13

Add '-1z2' to each side of the equation.
4iz + z2 + -1z2 = 13 + -1z2

Combine like terms: z2 + -1z2 = 0
4iz + 0 = 13 + -1z2
4iz = 13 + -1z2

Divide each side by '4z'.
i = 3.25z-1 + -0.25z

Simplifying
i = 3.25z-1 + -0.25z

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