query: Can there be a real solution to the square root of -1?
positive_passages.docid: 6721
positive_passages.text: math fallacy problem: $-1= (-1)^3 = (-1)^{6/2} = \sqrt{(-1)^6}= 1$?
negative_passages.docid: 72892
negative_passages.text: Does $\sqrt{x}$ have a limit for $x \to 0$?
negative_passages.docid: 109706
negative_passages.text: Fast way to come up with solutions to $x(x-1)(x-2)(x-3)=1$?
negative_passages.docid: 134075
negative_passages.text: Inverse of $A^{-1}+B^{-1}$
negative_passages.docid: 4031
negative_passages.text: What is the solution to the following recurrence relation with square root: $T(n)=T (\sqrt{n}) + 1$?
negative_passages.docid: 18053
negative_passages.text: Find all prime $p$ such that $x^2=-1$ has a solution in $\mathbb{Z}/p\mathbb{Z}$
negative_passages.docid: 25518
negative_passages.text: How can I solve the equation $x^3-x-1 = 0$?
negative_passages.docid: 55094
negative_passages.text: How to show $i^{-1} = -i$?
negative_passages.docid: 75690
negative_passages.text: Does the given matrix have a square root?
negative_passages.docid: 144244
negative_passages.text: Bound on difference between irrational square root and rational number
negative_passages.docid: 28502
negative_passages.text: How to solve $x^3=-1$?
negative_passages.docid: 144042
negative_passages.text: On the functional square root of $x^2+1$
negative_passages.docid: 144841
negative_passages.text: Find general solution $y''y^3=1$
negative_passages.docid: 108923
negative_passages.text: What is wrong with this false proof? $-1=(-1)^1=(-1)^\frac{2}{2}=((-1)^2)^\frac{1}{2}=\sqrt{(-1)^2}=\sqrt{1}=1$
negative_passages.docid: 140969
negative_passages.text: Limit of square root problem
negative_passages.docid: 117366
negative_passages.text: Is there a simple, constructive, 1-1 mapping between the reals and the irrationals?
negative_passages.docid: 40070
negative_passages.text: Is there a real-valued function $f$ such that $f(f(x)) = -x$?