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If (x+i y)^(1//3)=a+i b ,x ,y ,a b in R...

If `(x+i y)^(1//3)=a+i b ,x ,y ,a b in Rdot` Show that `x/a+y/b=4(a^2-b^2)` (ii) `x/a-y/b=-2(a^2+b^2)`

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To solve the problem, we start from the given equation: \[ (x + iy)^{1/3} = a + ib \] We can cube both sides to eliminate the cube root: ...
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