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20.If(x+iy)' = a + ib , where x,y, a, b ER then show that=-2( a2 + b |
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Answer» 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 =-2(a^2-b^2) |
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