Question

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

score 771 · Answer 1 · 2026-03-20 05:52:36

771

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

Published on 20 Mar 2026 - 5:52

score 1.6k · Answer 2 · 2026-03-25 11:48:13

1.6k

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Roots of a complex equation

Published on 25 Mar 2026 - 11:48

score 8.8k · Answer 3 · 2026-03-26 03:01:09

8.8k

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Do Irrational Conjugates always come in pairs?

Published on 26 Mar 2026 - 3:01

score 44 · Answer 4 · 2026-03-18 02:17:49

44

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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 18 Mar 2026 - 2:17

score 567 · Answer 5 · 2026-03-22 00:44:00

567

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The Heegner Polynomials

Published on 22 Mar 2026 - 0:44

score 250 · Answer 6 · 2026-03-19 19:42:33

250

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

Published on 19 Mar 2026 - 19:42

score 317 · Answer 7 · 2026-03-22 05:35:59

317

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

Published on 22 Mar 2026 - 5:35

score 194 · Answer 8 · 2026-03-19 21:43:58

194

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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 19 Mar 2026 - 21:43

score 99 · Answer 9 · 2026-03-22 12:17:49

99

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Find suitable scaling exponent for characteristic polynomial and its largest root

Published on 22 Mar 2026 - 12:17

score 692 · Answer 10 · 2026-03-22 05:13:50

692

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

Published on 22 Mar 2026 - 5:13

score 396 · Answer 11 · 2026-03-24 17:24:09

396

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

Published on 24 Mar 2026 - 17:24

score 736 · Answer 12 · 2026-03-25 12:50:46

736

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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.

Published on 25 Mar 2026 - 12:50

score 346 · Answer 13 · 2026-03-25 06:07:09

346

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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 25 Mar 2026 - 6:07

score 1k · Answer 14 · 2026-03-27 06:39:26

1k

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Convex function has unique zero

Published on 27 Mar 2026 - 6:39

score 4.5k · Answer 15 · 2026-03-22 03:06:26

4.5k

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Proof of convergence of newton method for convex function

Published on 22 Mar 2026 - 3:06

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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