query: Solving $x^3 = -1$ for complex numbers
positive_passages.docid: 28502
positive_passages.text: How to solve $x^3=-1$?
negative_passages.docid: 81875
negative_passages.text: why is $\sqrt{-1} = i$ and not $\pm i$?
negative_passages.docid: 7651
negative_passages.text: Solve $e^{4z} +e^{3z} + e^{2z} + e^z + 1 = 0$.
negative_passages.docid: 24221
negative_passages.text: Complex numbers - minimum value proof
negative_passages.docid: 21679
negative_passages.text: Solving $x^3-y^3=xy+61$ in integers
negative_passages.docid: 81571
negative_passages.text: Complex Exponent of Complex Numbers
negative_passages.docid: 42165
negative_passages.text: Complex numbers and Roots of unity
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: 144841
negative_passages.text: Find general solution $y''y^3=1$
negative_passages.docid: 57152
negative_passages.text: Solve $\sin x = 1 - x$
negative_passages.docid: 73607
negative_passages.text: Find the residue at $z=-2$ for $g(z) = \frac{\psi(-z)}{(z+1)(z+2)^3}$
negative_passages.docid: 58675
negative_passages.text: The real or purely imaginary solutions of the equation, $z^3+iz-1=0$ are?
negative_passages.docid: 130565
negative_passages.text: Find all solutions to $x^3+(x+1)^3+ \dots + (x+15)^3=y^3$
negative_passages.docid: 33569
negative_passages.text: Use polar complex numbers to find multiplicative inverse
negative_passages.docid: 14633
negative_passages.text: What's the thing with $\sqrt{-1} = i$
negative_passages.docid: 101299
negative_passages.text: Solving the complex polynomial
negative_passages.docid: 144765
negative_passages.text: Solving $\sqrt{x+5} = x - 1$