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`        1. If (x+iy)^1/3=a+ib, x,y,a,b E R.Show that x/a+y/b=4(a^2-b^2)`
5 years ago

Aman Bansal
592 Points
```										Dear Kurma,
after cubing given eqn we get

x+iy=a^3-ib^3+3aib(a+ib)

=a^3-ib^3+3a^2ib-3ab^2

=a^3-3ab^2+i(3a^2b-b^3)

comparing

x=a^3-3ab^2,y=3a^2b-b^3

x/a+y/b=a^2-3b^2+3a^2-b^2

=4(a^2-b^2)

proved

hope i helped u
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```
5 years ago
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