If z = 3+5i, then $z^{3}$ + $¯ z$ + 198 =

-3-5i

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-3+5i

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3+5i

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3-5i

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Solution

The correct option is C
3+5i

z = 3+5i , $¯ z$ = 3-5i

⇒ $z^{3} = (3 + 5 i)^{3} = 3^{3} + (5 i)^{3} + 3.3.5 i (3 + 5 i)$

= -198+10i

Hence, $z^{3} + ¯ z$ + 198 = 10i-198+3-5i+198 = 3+5i .

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Similar questions

If z = 3+5i, then $z^{3}$ + $¯ z$ + 198 =

z = 3 - 5 i

z^{3} - 10 z^{2} + 58 z - 136 = 0

z^{3} = ¯ z

z^{3} + z + ¯ z = 0

| z + ¯ z | + | z - ¯ z | = 2

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