Question

general theorem on roots of a polynomial needed to show it's identically zero.

score 101 · Answer 1 · 2026-04-11 14:59:25

101

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general theorem on roots of a polynomial needed to show it's identically zero.

Published on 11 Apr 2026 - 14:59

score 788 · Answer 2 · 2026-04-11 22:53:49

788

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Solving quartic equation? (Cardano/Ferrari)

Published on 11 Apr 2026 - 22:53

score 979 · Answer 3 · 2026-04-16 18:06:23

979

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Solve $ \left(\sqrt[3]{4-\sqrt{15}}\right)^x+\left(\sqrt[3]{4+\sqrt{15}}\right)^x=8 $

Published on 16 Apr 2026 - 18:06

score 175 · Answer 4 · 2026-04-14 05:27:47

175

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Prove $x^7+3x^5+1$ has exactly one real root using Bolzano's theorem and the MVT.

Published on 14 Apr 2026 - 5:27

score 704 · Answer 5 · 2026-04-17 08:26:34

The roots of the cubic equation $z^3-2z^2+pz+10=0$ are $\alpha$, $\beta$ and $\gamma$. Show that $\alpha^2+\beta^2+\gamma^2=p+13$

score 1.3k · Answer 6 · 2026-04-15 18:42:15

1.3k

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Only 12 polynomials exist with given properties

Published on 15 Apr 2026 - 18:42

score 5.8k · Answer 7 · 2026-04-09 13:37:03

5.8k

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Finding a root by bisection method in Excel

Published on 09 Apr 2026 - 13:37

score 426 · Answer 8 · 2026-04-16 21:14:51

426

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Find the real root $\alpha$ of the cubic equation $z^3-2z^2-3z+10=0$

Published on 16 Apr 2026 - 21:14

score 676 · Answer 9 · 2026-04-12 17:31:27

676

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Effect on existing roots of polynomial when adding small higher-order term

Published on 12 Apr 2026 - 17:31

score 920 · Answer 10 · 2026-04-15 03:07:45

920

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Find the fixed points of a function $f(x) := exp(x - 2)$ using a recursive algorithm

Published on 15 Apr 2026 - 3:07

score 899 · Answer 11 · 2026-04-16 11:13:13

899

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Proving that if the sequence $X_n$ converges to $x$, then ${X_n}^a$, where $a$ is a positive rational, converges to $x^a$.

Published on 16 Apr 2026 - 11:13

score 455 · Answer 12 · 2026-04-15 09:09:56

455

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Show that $z^n+nz-1$ has $n$ zeros in $D(0,R)$

Published on 15 Apr 2026 - 9:09

score 123 · Answer 13 · 2026-04-11 05:20:53

123

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Roots of quadratic equation

Published on 11 Apr 2026 - 5:20

score 102 · Answer 14 · 2026-04-15 20:17:07

102

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Prove or disprove this relation between one root of the quadratic and the cubic equation of a certain form, and linear recurrences.

Published on 15 Apr 2026 - 20:17

score 286 · Answer 15 · 2026-04-13 01:09:58

286

Views

Interval of Polynomial Root Finding

Published on 13 Apr 2026 - 1:09

List Question

general theorem on roots of a polynomial needed to show it's identically zero.

Solving quartic equation? (Cardano/Ferrari)

Solve $ \left(\sqrt[3]{4-\sqrt{15}}\right)^x+\left(\sqrt[3]{4+\sqrt{15}}\right)^x=8 $

Prove $x^7+3x^5+1$ has exactly one real root using Bolzano's theorem and the MVT.

The roots of the cubic equation $z^3-2z^2+pz+10=0$ are $\alpha$, $\beta$ and $\gamma$. Show that $\alpha^2+\beta^2+\gamma^2=p+13$

Only 12 polynomials exist with given properties

Finding a root by bisection method in Excel

Find the real root $\alpha$ of the cubic equation $z^3-2z^2-3z+10=0$

Effect on existing roots of polynomial when adding small higher-order term

Find the fixed points of a function $f(x) := exp(x - 2)$ using a recursive algorithm

Proving that if the sequence $X_n$ converges to $x$, then ${X_n}^a$, where $a$ is a positive rational, converges to $x^a$.

Show that $z^n+nz-1$ has $n$ zeros in $D(0,R)$

Roots of quadratic equation

Prove or disprove this relation between one root of the quadratic and the cubic equation of a certain form, and linear recurrences.

Interval of Polynomial Root Finding

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