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If z is a complex number satisfying the equaiton `z^(6) - 6z^(3) + 25 = 0`, then the value of `|z|` is

A

`5^(1//3)`

B

`25^(1//3)`

C

`125^(1//3)`

D

`625^(1//3)`

Text Solution

Verified by Experts

The correct Answer is:
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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