Solve |z+2-i/z+5+4i|=5

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Solution

z = -3 / (2-i)

Algebraic form:
z = -1.2-0.6i

Exponential form:
z = 1.341641 × ei (-153°26'6″)

Trigonometric form:
z = 1.341641 × (cos (-153°26'6″) + i sin (-153°26'6″))

Polar form:
r = |z| = 1.34164
φ = arg z = -153.43495° = -153°26'6″ = -0.85242π

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