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(Solved): Find the complex number z, in Cartesian form, such that it satisfies the equation (13i)5+(3 ...

$Find the complex number \( z \), in Cartesian form, such that it satisfies the equation \[ (1-\sqrt{3} i)^{5}+\left(\overline$

Find the complex number

z

, in Cartesian form, such that it satisfies the equation

(1 ? 3 i)^{5} + (\overline{3 ? i)^{5}} z = 32 (1 + 3 i)

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Expert Answer

(1?3i)=2e?60i(1?3i)5=25e?300i(1?3i)5

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