Find a complex number a+ ????????????????, with aand ???????? positive real numbers, such that (a+ ????????????????)3 = i.
1 answer:
Answer:
The complex number is 0+i/3.
Step-by-step explanation:
Let the imaginary part be x.
The complex number will be a+xi
Given:
real part =a
(a+xi)*3=i...............(i)
To find:
imaginary part
Solution:
3a + 3xi=i.............(ii)
Comparing real and imaginary parts of eq(ii).
3a=0 and 3x=1
a=0
x=1/3.
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