Discover Questions

Is there any theoretical way to predict the crystal structure of a salt? Are there non-trivial solution for these homogeneous systems? X1 + 2X2 - 3X3 =0
2X1 + 5X2 + 2X3 = 0
3X1 - X2 - 4X3 = 0
7X1 + 8X2 - 8X3 =0? Solve over the set of complex numbers:
(a) z^3 = i
(b) z^5 = −i
(c) z^2 = √(3) + i
(d) z^3 − 9 = 0
(e) z^6 − 7iz^3 + 8 = 0? How are Suns created? I was told to solve this: (2x^2 + 3)^2 = 4x(x^3 + 6)?