Question

How to solve the exponential equation $e^{a+bx}+e^{c+dx}=1$?

score 784 · Answer 1 · 2026-05-11 21:55:56

784

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How to solve the exponential equation $e^{a+bx}+e^{c+dx}=1$?

Published on 11 May 2026 - 21:55

score 1.6k · Answer 2 · 2026-05-11 00:16:20

1.6k

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Roots of a complex equation

Published on 11 May 2026 - 0:16

score 8.8k · Answer 3 · 2026-05-11 03:19:01

8.8k

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Do Irrational Conjugates always come in pairs?

Published on 11 May 2026 - 3:19

score 51 · Answer 4 · 2026-05-06 00:08:50

51

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For $f \in \mathbb{Z}[x]$ , $\deg(\gcd_{\mathbb{Z}_q}(f, x^p - 1)) \geq \deg(\gcd_{\mathbb{Q}}(f, x^p - 1))$

Published on 06 May 2026 - 0:08

score 580 · Answer 5 · 2026-05-13 03:36:13

580

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The Heegner Polynomials

Published on 13 May 2026 - 3:36

score 261 · Answer 6 · 2026-05-07 16:53:34

261

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Roots of a polynomial : finding the sum of the squares of the product of two roots

Published on 07 May 2026 - 16:53

score 323 · Answer 7 · 2026-04-29 12:08:03

323

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Looking for references about a graphical representation of the set of roots of polynomials depending on a parameter

Published on 29 Apr 2026 - 12:08

score 203 · Answer 8 · 2026-05-11 03:53:56

203

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Approximating the first +ve root of $\tan(\lambda)= \frac{a\lambda+b}{\lambda^2-ab}$, $\lambda\in(0,\pi/2)$

Published on 11 May 2026 - 3:53

score 112 · Answer 9 · 2026-05-07 19:27:14

112

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Find suitable scaling exponent for characteristic polynomial and its largest root

Published on 07 May 2026 - 19:27

score 700 · Answer 10 · 2026-05-06 01:16:42

700

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Form an equation whose roots are $(a-b)^2,(b-c)^2,(c-a)^2.$

Published on 06 May 2026 - 1:16

score 404 · Answer 11 · 2026-05-05 03:46:52

404

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if $x^3 + px^2+qx+r = 0$ has three real roots, show that $p^2 \ge 3q$

Published on 05 May 2026 - 3:46

score 743 · Answer 12 · 2026-05-13 09:39:00

Prove that if all of the roots of a polynomial $P(z)$ are real, then for any $b$ the roots of the polynomial $R(z)=P(z+ib)+P(z-ib)$ are also real.

score 353 · Answer 13 · 2026-05-10 14:07:42

353

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computing $A_2=\sum_{k=1}^{n}\frac{1}{(z_k-1)^2} $ and $\sum_{k=1}^n \cot^2\left( \frac{k\pi}{n+1}\right)$

Published on 10 May 2026 - 14:07

score 1k · Answer 14 · 2026-05-13 16:35:31

1k

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Convex function has unique zero

Published on 13 May 2026 - 16:35

score 4.5k · Answer 15 · 2026-05-04 08:44:28

4.5k

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Proof of convergence of newton method for convex function

Published on 04 May 2026 - 8:44

List Question

How to solve the exponential equation $e^{a+bx}+e^{c+dx}=1$?

Roots of a complex equation

Do Irrational Conjugates always come in pairs?

For $f \in \mathbb{Z}[x]$ , $\deg(\gcd_{\mathbb{Z}_q}(f, x^p - 1)) \geq \deg(\gcd_{\mathbb{Q}}(f, x^p - 1))$

The Heegner Polynomials

Roots of a polynomial : finding the sum of the squares of the product of two roots

Looking for references about a graphical representation of the set of roots of polynomials depending on a parameter

Approximating the first +ve root of $\tan(\lambda)= \frac{a\lambda+b}{\lambda^2-ab}$, $\lambda\in(0,\pi/2)$

Find suitable scaling exponent for characteristic polynomial and its largest root

Form an equation whose roots are $(a-b)^2,(b-c)^2,(c-a)^2.$

if $x^3 + px^2+qx+r = 0$ has three real roots, show that $p^2 \ge 3q$

Prove that if all of the roots of a polynomial $P(z)$ are real, then for any $b$ the roots of the polynomial $R(z)=P(z+ib)+P(z-ib)$ are also real.

computing $A_2=\sum_{k=1}^{n}\frac{1}{(z_k-1)^2} $ and $\sum_{k=1}^n \cot^2\left( \frac{k\pi}{n+1}\right)$

Convex function has unique zero

Proof of convergence of newton method for convex function

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