Suppose a complex number z satisfies the equation (1+ 2z)³ = eiª (1 – 22)³, for some a E (T, 27). Find the complex number z and express the result in Euler's form.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Suppose a complex number z satisfies the equation
(1+22)³ = eia (1 – 2)³,
for some a E (T, 27). Find the complex number z and express the result in Euler's form.
Transcribed Image Text:Suppose a complex number z satisfies the equation (1+22)³ = eia (1 – 2)³, for some a E (T, 27). Find the complex number z and express the result in Euler's form.
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