query: $Z^4 = -1$ How do I solve this without a calculator?
positive_passages.docid: 13909
positive_passages.text: How to find the roots of $x^4 +1$
negative_passages.docid: 6837
negative_passages.text: How to quotient $\mathbb Z [\sqrt{-11}] / (1+\sqrt{-11})$?
negative_passages.docid: 38160
negative_passages.text: Number of roots of $z^4+z^3+4z^2+2z+3=0$ in each quadrants
negative_passages.docid: 147503
negative_passages.text: Solving $4x = e^x$ without graphing and looking for intersection
negative_passages.docid: 101299
negative_passages.text: Solving the complex polynomial
negative_passages.docid: 56341
negative_passages.text: Solving complex numbers equation $z^3 = \overline{z} $
negative_passages.docid: 61987
negative_passages.text: $x^2+1=0$ in $\mathbb{Z}_7$
negative_passages.docid: 38702
negative_passages.text: How to minimize $|z_1 - z_2|^2 + |z_1 - z_4|^2 + |z_2 - z_3|^2 + |z_3 - z_4|^2$?
negative_passages.docid: 89705
negative_passages.text: How to solve $a_n = 2a_{n-1} + 1, a_0 = 0, a_1 = 1$?
negative_passages.docid: 87029
negative_passages.text: Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
negative_passages.docid: 55094
negative_passages.text: How to show $i^{-1} = -i$?
negative_passages.docid: 4742
negative_passages.text: Find the poles and residue of the function $\frac{1}{z-\sin z }$ at $z=0$?
negative_passages.docid: 52800
negative_passages.text: Show that $z^5-1=(z-1)(z^2+2z\cos{\pi \over 5}+1)(z^2-2z\cos{2\pi \over 5}+1)$
negative_passages.docid: 85917
negative_passages.text: Solve $(x+1)^y-x^z=1$
negative_passages.docid: 33569
negative_passages.text: Use polar complex numbers to find multiplicative inverse
negative_passages.docid: 153377
negative_passages.text: How to solve $y^2=3x^4+3x^2+1$ for integers.
negative_passages.docid: 105336
negative_passages.text: What are the solutions to $z^4+1=0$?