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I want to know about Complex numbers completely. anybody can help me
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i = sqrt(-1) ,so i^2 = -1
a complex number has two components \[z=a+ib\] where\[i=\sqrt{-1}\] and\[a,b\in \mathbb R\]
try counting to infinity without stopping.
There's like an entire advanced mathematics course fully dedicated to studying complex numbers. I think you can find it on MIT courseware.
\(i=+\sqrt{-1},~-i=-\sqrt{-1}\)
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\[\large{\frac 1i}\small{=\frac1i\times1{}}\]\[\qquad=\frac1i\times\frac{-i}{-i}\]\[\qquad=\frac{-i}{-i^2}\]\[\qquad=\frac{-i}{-(-1)}\]\[\qquad=\frac{-i}{1}\]\[\large {\large{\frac 1i}=-i}\]
conceder the solutions to this equation\[x^2+1=0\]
did you read it?
I did.
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good link @panlac01
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