If z is a complex number satisfying the equaiton `z^(6) - 6z^(3) + 25 = 0`, then the value of `|z|` isA. `5^(1//3)`B. `25^(1//3)`C. `125^(1//3)`D. `625^(1//3)`

If z is a complex number satisfying the equaiton `z^(6) - 6z^(3) + 25

1.	If z is a complex number satisfying the equaiton `z^(6) - 6z^(3) + 25 = 0`, then the value of `\|z\|` isA. `5^(1//3)`B. `25^(1//3)`C. `125^(1//3)`D. `625^(1//3)`
Answer» Correct Answer - A Let `z^(3)=t` `therefore " " t^(2)-6t+25=0` `rArr t=(6pmsqrt(-64))/(2)=3pm4i=z^(3)` So, `\|z^(3)\|=5` `rArr \|z\|=5^(1//3)`

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If z is a complex number satisfying the equaiton `z^(6) - 6z^(3) + 25 = 0`, then the value of `|z|` isA. `5^(1//3)`B. `25^(1//3)`C. `125^(1//3)`D. `625^(1//3)`

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