complex

if a+b = (x+iy)^1/3 then prove that 4(a²-b²)=x/a+y/b

1 Answers

i presume that you meant a+ib?

(a+ib)³=x+iy

a³-3ab²=x

=> x/a=a²-3b²

3a²b-b³=y
=> y/b = 3a²-b²

adding the above you get the answer :)

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