Question

How can I find all the solutions of $\sin^5x+\cos^3x=1$

score 1.2k · Answer 1 · 2026-04-14 03:17:49

1.2k

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How can I find all the solutions of $\sin^5x+\cos^3x=1$

Published on 14 Apr 2026 - 3:17

score 2k · Answer 2 · 2026-04-16 08:27:29

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If $\mathbb f$ is analytic and bounded on the unit disc with zeros $a_n$ then $\sum_{n=1}^\infty \left(1-\lvert a_n\rvert\right) \lt \infty$

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score 836 · Answer 3 · 2026-04-10 21:06:22

836

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no. of real roots of exponential equation in three questions

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score 2.1k · Answer 4 · 2026-04-14 12:56:05

2.1k

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score 121 · Answer 5 · 2026-04-11 20:19:33

121

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score 395 · Answer 6 · 2026-04-15 21:57:33

395

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$\sum_i x_i^n = 0$ for all $n$ implies $x_i = 0$

Published on 15 Apr 2026 - 21:57

score 2.2k · Answer 7 · 2026-04-15 10:10:16

2.2k

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Solving $\sqrt{7x-4}-\sqrt{7x-5}=\sqrt{4x-1}-\sqrt{4x-2}$

Published on 15 Apr 2026 - 10:10

score 70 · Answer 8 · 2026-04-12 07:40:56

70

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score 72 · Answer 9 · 2026-04-12 22:49:15

Rouche's theorem: $g(z)$ has no roots in $L$, $|g(z)| > |f(z)|$ for the contour $\partial L$. Does $f(z)$ have no roots in $L$?

score 214 · Answer 10 · 2026-04-17 07:04:30

214

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Approximating the roots of $\epsilon^{2}x^{3}+x+1$

Published on 17 Apr 2026 - 7:04

score 98 · Answer 11 · 2026-04-15 18:43:28

98

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score 2.8k · Answer 12 · 2026-04-13 02:08:44

2.8k

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Adriaan van Roomen's 45th degree equation in 1593

Published on 13 Apr 2026 - 2:08

score 257 · Answer 13 · 2026-04-08 21:15:25

257

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score 90 · Answer 14 · 2026-04-12 07:04:26

90

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Published on 12 Apr 2026 - 7:04

score 113 · Answer 15 · 2026-04-16 19:13:07

113

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Solution to set of three equations

Published on 16 Apr 2026 - 19:13

List Question

How can I find all the solutions of $\sin^5x+\cos^3x=1$

If $\mathbb f$ is analytic and bounded on the unit disc with zeros $a_n$ then $\sum_{n=1}^\infty \left(1-\lvert a_n\rvert\right) \lt \infty$

no. of real roots of exponential equation in three questions

Polynomials - The sum of two roots

A question about cubic equation.

$\sum_i x_i^n = 0$ for all $n$ implies $x_i = 0$

Solving $\sqrt{7x-4}-\sqrt{7x-5}=\sqrt{4x-1}-\sqrt{4x-2}$

Determining the sign of a polynomial given its factorization

Rouche's theorem: $g(z)$ has no roots in $L$, $|g(z)| > |f(z)|$ for the contour $\partial L$. Does $f(z)$ have no roots in $L$?

Approximating the roots of $\epsilon^{2}x^{3}+x+1$

Overdetermined system - showing that there are no roots that satisfy the set of equations

Adriaan van Roomen's 45th degree equation in 1593

Finding root of equation

Finding Root of an Equation with Variables Dependent on Each other

Solution to set of three equations

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