Question

if 1, $\alpha_1$, $\alpha_2$, $\alpha_3$, $\ldots$, $\alpha_{n-1}$ are nth roots of unity then...

score 2.6k · Answer 1 · 2026-03-26 04:53:38

2.6k

Views

if 1, $\alpha_1$, $\alpha_2$, $\alpha_3$, $\ldots$, $\alpha_{n-1}$ are nth roots of unity then...

Published on 26 Mar 2026 - 4:53

score 401 · Answer 2 · 2026-03-25 14:08:18

401

Views

ّFind $x$ such that $ \frac{1}{x^2} + \frac{1}{(3-x)^2} = \frac{104}{25}$.

Published on 25 Mar 2026 - 14:08

score 71 · Answer 3 · 2018-11-07 20:36:59

71

Views

What method would you suggest for finding the zeros of this particular polynomial?

Published on 07 Nov 2018 - 20:36

score 94 · Answer 4 · 2018-11-08 03:14:40

94

Views

Show that any root $z$ of $z^4+z+3=0$ satisfies $|z|>1$

Published on 08 Nov 2018 - 3:14

score 639 · Answer 5 · 2026-03-28 01:09:12

639

Views

Number of real roots of a quintic equation

Published on 28 Mar 2026 - 1:09

score 445 · Answer 6 · 2026-03-31 07:09:48

Showing that $f(a)=\Vert p+q\Vert-\Vert p- q\Vert$ has one root, where $p:=(x+a y)/\Vert x+ay\Vert$ and $q:=(x-ay)/\Vert x-ay\Vert$

score 240 · Answer 7 · 2018-11-10 00:31:23

240

Views

Show that $30x^n-91$ does not have rational roots

Published on 10 Nov 2018 - 0:31

score 547 · Answer 8 · 2026-03-23 22:31:47

547

Views

Elementary Number Theory - Determining if there exist roots for a polynomial congruence with a prime modulus

Published on 23 Mar 2026 - 22:31

score 42 · Answer 9 · 2026-03-28 12:14:47

42

Views

The set of third roots of $-8$, and the set of fourth roots of $-i$. What does this mean?

Published on 28 Mar 2026 - 12:14

score 404 · Answer 10 · 2018-11-12 00:41:22

404

Views

Show that the set of zero of a polynomial of $n$ variables has dimension $n-1$.

Published on 12 Nov 2018 - 0:41

score 2.2k · Answer 11 · 2018-11-12 02:57:11

2.2k

Views

Proof that if f(a)<0 and f(b)>0 f and is continuous on [a,b] then f changes sign at some c in (a,b)

Published on 12 Nov 2018 - 2:57

score 158 · Answer 12 · 2026-03-24 23:44:25

158

Views

Solution for $ y(x) - ae^{y(x)} = f(x) $ involving Lambert W function

Published on 24 Mar 2026 - 23:44

score 56 · Answer 13 · 2026-03-26 22:57:55

56

Views

Is $(-1)^{1/3} = -1$ , but $(-1)^{2/6} = 1$. Why aren't these the same?

Published on 26 Mar 2026 - 22:57

score 1.2k · Answer 14 · 2018-11-13 18:00:48

1.2k

Views

How do we evaluate $(-i)^{\frac 5 2}$ without complex logarithms?

Published on 13 Nov 2018 - 18:00

score 91 · Answer 15 · 2026-03-26 17:53:28

91

Views

Proof that if f(a)<0 and f(b)>0 f and is continuous on [a,b] then f changes sign at some c in (a,b) Part 2

Published on 26 Mar 2026 - 17:53

List Question

if 1, $\alpha_1$, $\alpha_2$, $\alpha_3$, $\ldots$, $\alpha_{n-1}$ are nth roots of unity then...

ّFind $x$ such that $ \frac{1}{x^2} + \frac{1}{(3-x)^2} = \frac{104}{25}$.

What method would you suggest for finding the zeros of this particular polynomial?

Show that any root $z$ of $z^4+z+3=0$ satisfies $|z|>1$

Number of real roots of a quintic equation

Showing that $f(a)=\Vert p+q\Vert-\Vert p- q\Vert$ has one root, where $p:=(x+a y)/\Vert x+ay\Vert$ and $q:=(x-ay)/\Vert x-ay\Vert$

Show that $30x^n-91$ does not have rational roots

Elementary Number Theory - Determining if there exist roots for a polynomial congruence with a prime modulus

The set of third roots of $-8$, and the set of fourth roots of $-i$. What does this mean?

Show that the set of zero of a polynomial of $n$ variables has dimension $n-1$.

Proof that if f(a)<0 and f(b)>0 f and is continuous on [a,b] then f changes sign at some c in (a,b)

Solution for $ y(x) - ae^{y(x)} = f(x) $ involving Lambert W function

Is $(-1)^{1/3} = -1$ , but $(-1)^{2/6} = 1$. Why aren't these the same?

How do we evaluate $(-i)^{\frac 5 2}$ without complex logarithms?

Proof that if f(a)<0 and f(b)>0 f and is continuous on [a,b] then f changes sign at some c in (a,b) Part 2

Trending Questions

Popular # Hahtags

Popular Questions