Question

Given $\textrm{gcd}(p,q)=1$, in what cases do positive integers $k$ and $a$ exist for which $k^2 + (2q)^2 = (aq+p)^2$?

score 40 · Answer 1 · 2021-03-13 00:32:13

40

Views

Given $\textrm{gcd}(p,q)=1$, in what cases do positive integers $k$ and $a$ exist for which $k^2 + (2q)^2 = (aq+p)^2$?

Published on 13 Mar 2021 - 0:32

score 55 · Answer 2 · 2021-03-30 13:28:15

55

Views

Is a Pythagorean triple uniquely determined by its smallest element?

Published on 30 Mar 2021 - 13:28

score 624 · Answer 3 · 2021-04-02 19:23:13

624

Views

Proving right isosceles triangle

Published on 02 Apr 2021 - 19:23

score 82 · Answer 4 · 2021-04-03 06:01:13

82

Views

Let P be a point inside an equilateral $△ABC, PA=5, PB=12, PC=13$. What is the ratio in which P divides the 3 sections of the triangle?

Published on 03 Apr 2021 - 6:01

score 171 · Answer 5 · 2021-04-10 01:27:39

171

Views

Finding integer solutions to the system $xy=6(x+y+z)$, $x^2+y^2=z^2$

Published on 10 Apr 2021 - 1:27

score 395 · Answer 6 · 2021-04-11 10:47:32

395

Views

Finding the sides of a Triangle

Published on 11 Apr 2021 - 10:47

score 144 · Answer 7 · 2021-04-19 16:34:52

144

Views

$\frac{1}{a} = \frac{1}{b} + \frac{1}{c} - \frac{1}{abc}$ and $a^2 + b^2 = c^2$

Published on 19 Apr 2021 - 16:34

score 193 · Answer 8 · 2021-04-20 21:02:32

193

Views

Pythagorean Triples using points on the circle

Published on 20 Apr 2021 - 21:02

score 64 · Answer 9 · 2021-04-29 00:28:17

64

Views

Reference request: there are only two integer solutions to $2^{2a} + 3^{2b} = 5^c$.

Published on 29 Apr 2021 - 0:28

score 95 · Answer 10 · 2021-04-29 17:22:50

95

Views

Is there another formula which generates Pythagoras' triples such that the largest $2$ of the triple differ by $3$?

Published on 29 Apr 2021 - 17:22

score 270 · Answer 11 · 2021-04-30 09:42:01

270

Views

Pythagorean triples conditions

Published on 30 Apr 2021 - 9:42

score 307 · Answer 12 · 2021-05-03 19:47:23

307

Views

Does it follow from the Pythagorean theorem that "there is no right-angled triangle with sides 5, 10 and 11"?

Published on 03 May 2021 - 19:47

score 76 · Answer 13 · 2021-05-17 23:55:33

76

Views

Vector Geo Problem I am lost in.

Published on 17 May 2021 - 23:55

score 46 · Answer 14 · 2026-03-27 22:53:08

46

Views

Distance between 2 points and time taken - Speed keeps increasing as the distance get further why?

Published on 27 Mar 2026 - 22:53

score 376 · Answer 15 · 2021-05-22 03:30:15

376

Views

Given distance between cars, how to calculate the relative position and identify if the car is on my left or right?

Published on 22 May 2021 - 3:30

List Question

Given $\textrm{gcd}(p,q)=1$, in what cases do positive integers $k$ and $a$ exist for which $k^2 + (2q)^2 = (aq+p)^2$?

Is a Pythagorean triple uniquely determined by its smallest element?

Proving right isosceles triangle

Let P be a point inside an equilateral $△ABC, PA=5, PB=12, PC=13$. What is the ratio in which P divides the 3 sections of the triangle?

Finding integer solutions to the system $xy=6(x+y+z)$, $x^2+y^2=z^2$

Finding the sides of a Triangle

$\frac{1}{a} = \frac{1}{b} + \frac{1}{c} - \frac{1}{abc}$ and $a^2 + b^2 = c^2$

Pythagorean Triples using points on the circle

Reference request: there are only two integer solutions to $2^{2a} + 3^{2b} = 5^c$.

Is there another formula which generates Pythagoras' triples such that the largest $2$ of the triple differ by $3$?

Pythagorean triples conditions

Does it follow from the Pythagorean theorem that "there is no right-angled triangle with sides 5, 10 and 11"?

Vector Geo Problem I am lost in.

Distance between 2 points and time taken - Speed keeps increasing as the distance get further why?

Given distance between cars, how to calculate the relative position and identify if the car is on my left or right?

Trending Questions

Popular # Hahtags

Popular Questions