Question

Roots of $x^4 -6x^3 +x^2+10x +1=0$

score 88 · Answer 1 · 2014-12-01 01:32:36

88

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Roots of $x^4 -6x^3 +x^2+10x +1=0$

Published on 01 Dec 2014 - 1:32

score 801 · Answer 2 · 2014-12-01 17:09:38

801

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Show that the equation $ \cos(x) - kx = 0$ has a unique solution in $[0, \pi/2]$ for all $k>0$

Published on 01 Dec 2014 - 17:09

score 141 · Answer 3 · 2014-12-01 19:44:07

141

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Show that $x^a+x-b=0$ must have only one positive real root and not exceed the $\sqrt[a]{b-1}$

Published on 01 Dec 2014 - 19:44

score 274 · Answer 4 · 2014-12-01 22:26:27

274

Views

Why four roots to this equation: $(7x+1)^{1 \over 3}+(8+x-x^2)^{1 \over 3}+(x^2-8x-1)^{1 \over 3}=2$

Published on 01 Dec 2014 - 22:26

score 598 · Answer 5 · 2026-03-30 23:09:39

598

Views

Not able to use fzero function in Matlab

Published on 30 Mar 2026 - 23:09

score 61 · Answer 6 · 2026-04-05 22:17:59

61

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Find the root of C

Published on 05 Apr 2026 - 22:17

score 87 · Answer 7 · 2014-12-02 14:19:19

87

Views

Zeros of a function

Published on 02 Dec 2014 - 14:19

score 361 · Answer 8 · 2014-12-03 04:43:52

361

Views

For any positive number $k$, find the value of $1^k + 2^k + 3^k+...+(p-1)^k$(mod $p$)

Published on 03 Dec 2014 - 4:43

score 733 · Answer 9 · 2014-12-03 04:46:42

If $g$ is a primitive root modulo $37$, which of the numbers $g^2, g^3,.., g^8$ is a primitive root modulo 37?

score 189 · Answer 10 · 2014-12-03 17:23:57

189

Views

For each number $d$ dividing 12, list the a's with $1 \leq a < 13$ and $e_{13} (a) = d$

Published on 03 Dec 2014 - 17:23

score 179 · Answer 11 · 2014-12-04 01:46:41

179

Views

roots of complex polynomials with real coefficients in conjugate pairs?

Published on 04 Dec 2014 - 1:46

score 762 · Answer 12 · 2026-03-28 21:06:31

762

Views

Polynomial of prime degree: being irreducible or having a root!

Published on 28 Mar 2026 - 21:06

score 102 · Answer 13 · 2014-12-04 22:43:41

102

Views

On the location of the roots of a polynomial

Published on 04 Dec 2014 - 22:43

score 145 · Answer 14 · 2014-12-05 19:56:19

145

Views

Finding the roots of $x^n+\frac{1}{x^n}=k$

Published on 05 Dec 2014 - 19:56

score 2k · Answer 15 · 2026-03-25 13:51:37

2k

Views

How to solve Kepler's equation $M=E-\varepsilon \sin E$ for $E$?

Published on 25 Mar 2026 - 13:51

List Question

Roots of $x^4 -6x^3 +x^2+10x +1=0$

Show that the equation $ \cos(x) - kx = 0$ has a unique solution in $[0, \pi/2]$ for all $k>0$

Show that $x^a+x-b=0$ must have only one positive real root and not exceed the $\sqrt[a]{b-1}$

Why four roots to this equation: $(7x+1)^{1 \over 3}+(8+x-x^2)^{1 \over 3}+(x^2-8x-1)^{1 \over 3}=2$

Not able to use fzero function in Matlab

Find the root of C

Zeros of a function

For any positive number $k$, find the value of $1^k + 2^k + 3^k+...+(p-1)^k$(mod $p$)

If $g$ is a primitive root modulo $37$, which of the numbers $g^2, g^3,.., g^8$ is a primitive root modulo 37?

For each number $d$ dividing 12, list the a's with $1 \leq a < 13$ and $e_{13} (a) = d$

roots of complex polynomials with real coefficients in conjugate pairs?

Polynomial of prime degree: being irreducible or having a root!

On the location of the roots of a polynomial

Finding the roots of $x^n+\frac{1}{x^n}=k$

How to solve Kepler's equation $M=E-\varepsilon \sin E$ for $E$?

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