Question

Good method for finding roots that usually fall within an interval?

score 122 · Answer 1 · 2026-04-09 03:17:18

122

Views

Good method for finding roots that usually fall within an interval?

Published on 09 Apr 2026 - 3:17

score 181 · Answer 2 · 2026-04-15 20:12:36

181

Views

if $n$ is natural odd number then the polynom : $P(x)=x^n+ax^2+b$ has at the most 3 different roots

Published on 15 Apr 2026 - 20:12

score 225 · Answer 3 · 2026-04-11 18:11:44

225

Views

Can even degree Legendre polynomials have roots in common?

Published on 11 Apr 2026 - 18:11

score 88 · Answer 4 · 2026-04-10 05:11:08

88

Views

Finding all solutions to an equation in complex numbers!

Published on 10 Apr 2026 - 5:11

score 27 · Answer 5 · 2026-04-17 02:13:54

27

Views

How to build a function that is tangent to a sinoidal function

Published on 17 Apr 2026 - 2:13

score 4.4k · Answer 6 · 2026-04-14 02:26:01

4.4k

Views

Prove that $a^2 + b^2 \geq 8$ if $ x^4 + ax^3 + 2x^2 + bx + 1 = 0 $ has at least one real root.

Published on 14 Apr 2026 - 2:26

score 27 · Answer 7 · 2026-04-15 17:07:48

27

Views

Find roots of $\sin(a\,x)\sin(b\,y)-r\,\sin(b\,x)\sin(a\,y)$

Published on 15 Apr 2026 - 17:07

score 85 · Answer 8 · 2026-04-09 09:57:34

85

Views

Is it possible to find an analytical solution for "x" in this equation?

Published on 09 Apr 2026 - 9:57

score 3.6k · Answer 9 · 2026-04-15 00:02:46

3.6k

Views

if $a,b,c$ are the roots of $x^3-px^2+qx-r=0$, find the value of $(a+b-c)(b+c-a)(c+a-b)$

Published on 15 Apr 2026 - 0:02

score 365 · Answer 10 · 2026-04-15 07:00:01

365

Views

Does $x^3-e^x+\frac{13}{4}=0$ have an analytical solution?

Published on 15 Apr 2026 - 7:00

score 44 · Answer 11 · 2026-04-10 04:52:20

44

Views

Problem with the Bisection method

Published on 10 Apr 2026 - 4:52

score 51 · Answer 12 · 2026-04-14 10:26:08

51

Views

Write a biquadratic equation that has as roots the numbers $2$ and $2\sqrt{2}$

Published on 14 Apr 2026 - 10:26

score 60 · Answer 13 · 2026-04-16 03:26:29

60

Views

Solving the equation $\sqrt[3]{x^2 + 15} = 2\sqrt[3]{x+1}$

Published on 16 Apr 2026 - 3:26

score 630 · Answer 14 · 2026-04-15 00:42:23

630

Views

Find the Number of Zeros of $14z^{100}-5e^z$ in the Unit Disc. What are their Multiplicities?

Published on 15 Apr 2026 - 0:42

score 252 · Answer 15 · 2026-04-13 01:35:35

252

Views

Show Newton's method can go wrong with two roots

Published on 13 Apr 2026 - 1:35

List Question

Good method for finding roots that usually fall within an interval?

if $n$ is natural odd number then the polynom : $P(x)=x^n+ax^2+b$ has at the most 3 different roots

Can even degree Legendre polynomials have roots in common?

Finding all solutions to an equation in complex numbers!

How to build a function that is tangent to a sinoidal function

Prove that $a^2 + b^2 \geq 8$ if $ x^4 + ax^3 + 2x^2 + bx + 1 = 0 $ has at least one real root.

Find roots of $\sin(a\,x)\sin(b\,y)-r\,\sin(b\,x)\sin(a\,y)$

Is it possible to find an analytical solution for "x" in this equation?

if $a,b,c$ are the roots of $x^3-px^2+qx-r=0$, find the value of $(a+b-c)(b+c-a)(c+a-b)$

Does $x^3-e^x+\frac{13}{4}=0$ have an analytical solution?

Problem with the Bisection method

Write a biquadratic equation that has as roots the numbers $2$ and $2\sqrt{2}$

Solving the equation $\sqrt[3]{x^2 + 15} = 2\sqrt[3]{x+1}$

Find the Number of Zeros of $14z^{100}-5e^z$ in the Unit Disc. What are their Multiplicities?

Show Newton's method can go wrong with two roots

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