Question

Are there nonzero natural numbers such that $\sqrt{4n+5}+\sqrt{5n+1}+\sqrt{9n+4}= \frac{nx}{y}$?

score 327 · Answer 1 · 2026-03-29 03:36:41

327

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Are there nonzero natural numbers such that $\sqrt{4n+5}+\sqrt{5n+1}+\sqrt{9n+4}= \frac{nx}{y}$?

Published on 29 Mar 2026 - 3:36

score 21 · Answer 2 · 2023-09-27 19:41:34

21

Views

Proving the variational method for a nonhomogenous linear system of ODEs

Published on 27 Sep 2023 - 19:41

score 95 · Answer 3 · 2026-04-03 05:15:12

95

Views

Alternative Proof of Lagrange Multipliers?

Published on 03 Apr 2026 - 5:15

score 274 · Answer 4 · 2026-03-28 07:57:26

274

Views

Is this proof circular or is it valid?

Published on 28 Mar 2026 - 7:57

score 87 · Answer 5 · 2023-10-01 13:38:27

87

Views

Is there an alternative way to solve this trivial problem?

Published on 01 Oct 2023 - 13:38

score 529 · Answer 6 · 2026-03-30 08:26:07

529

Views

$(1\pm\frac{1}{3})(1\pm\frac{1}{5})(1\pm\frac{1}{7})(1\pm\frac{1}{9})(1\pm\frac{1}{11})\cdots$ and related products

Published on 30 Mar 2026 - 8:26

score 45 · Answer 7 · 2023-10-05 16:32:14

45

Views

Orbits of $S_n$ have size $1$, $2$ or $\geq n$, without simplicity of $A_n$

Published on 05 Oct 2023 - 16:32

score 135 · Answer 8 · 2026-02-24 07:06:18

135

Views

Visual or intuitive proof of $\sum_{k=0}^\infty\frac{(-1)^k}{2k+1}=\frac{\pi}{4}$

Published on 24 Feb 2026 - 7:06

score 88 · Answer 9 · 2026-03-26 17:35:39

88

Views

Product of non commutative periodic elements which is NOT periodic

Published on 26 Mar 2026 - 17:35

score 169 · Answer 10 · 2026-03-27 07:28:13

169

Views

Triangulating a polygon

Published on 27 Mar 2026 - 7:28

score 53 · Answer 11 · 2023-10-10 15:50:09

53

Views

Brezis' exercise 8.6.3: is there a shorter approach?

Published on 10 Oct 2023 - 15:50

score 47 · Answer 12 · 2023-10-11 16:02:09

47

Views

Is there any simpler way to avoid the enormous calculations for finding a basis from a generating set of a subspace of $R^5$ containing $8$ elements?

Published on 11 Oct 2023 - 16:02

score 29 · Answer 13 · 2023-10-12 06:43:48

Prove that in any set of ten different two-digit numbers one can select two disjoint subsets such that the sum of numbers in each subset is the same

score 31 · Answer 14 · 2026-04-01 12:49:54

31

Views

I am making a play book for my midterm about delta-epsilon proof for multivariable calculus.

Published on 01 Apr 2026 - 12:49

score 473 · Answer 15 · 2026-04-02 14:13:56

473

Views

How to prove that $f(x,y)=xy(x+y)$ isn't surjective as $f:\mathbb{Q}^2\to\mathbb{Q}$.

Published on 02 Apr 2026 - 14:13

List Question

Are there nonzero natural numbers such that $\sqrt{4n+5}+\sqrt{5n+1}+\sqrt{9n+4}= \frac{nx}{y}$?

Proving the variational method for a nonhomogenous linear system of ODEs

Alternative Proof of Lagrange Multipliers?

Is this proof circular or is it valid?

Is there an alternative way to solve this trivial problem?

$(1\pm\frac{1}{3})(1\pm\frac{1}{5})(1\pm\frac{1}{7})(1\pm\frac{1}{9})(1\pm\frac{1}{11})\cdots$ and related products

Orbits of $S_n$ have size $1$, $2$ or $\geq n$, without simplicity of $A_n$

Visual or intuitive proof of $\sum_{k=0}^\infty\frac{(-1)^k}{2k+1}=\frac{\pi}{4}$

Product of non commutative periodic elements which is NOT periodic

Triangulating a polygon

Brezis' exercise 8.6.3: is there a shorter approach?

Is there any simpler way to avoid the enormous calculations for finding a basis from a generating set of a subspace of $R^5$ containing $8$ elements?

Prove that in any set of ten different two-digit numbers one can select two disjoint subsets such that the sum of numbers in each subset is the same

I am making a play book for my midterm about delta-epsilon proof for multivariable calculus.

How to prove that $f(x,y)=xy(x+y)$ isn't surjective as $f:\mathbb{Q}^2\to\mathbb{Q}$.

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