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What are the solutions to\[x^2 =-1\]
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x = sqrt(-1) x = +i, -i
x = ±i
\[x^2=-1\]\[\sqrt{x^2}=\sqrt{-1}\]\[x= i\] Note that it is NOT plus minus... i is defined as -1^(1/2) to get -i you have to do something like: \[-\sqrt{-1}\]
but (-i)^2 = -1 so -i is a solution
along with plain i
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