- #1

anemone

Gold Member

MHB

POTW Director

- 3,885

- 11,584

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- MHB
- Thread starter anemone
- Start date

- #1

anemone

Gold Member

MHB

POTW Director

- 3,885

- 11,584

- #2

HOI

- 923

- 2

Subtracting the first from the second, 231469a+ 3461b+ 53c= 1. Since a, b, and c are integers that is a linear Diophantine equation.

- #3

kaliprasad

Gold Member

MHB

- 1,339

- 0

or $(62-19)(a(62^2 + 62 * 19 + 19^2) + b(62+ 19) +c) = 1$

LHS is a multiple of 43 and RHS is 1 so this does not have integer solution

- #4

kaliprasad

Gold Member

MHB

- 1,339

- 0

because this is a challenge question you are required to answer it fully . this is not a question for help

Subtracting the first from the second, 231469a+ 3461b+ 53c= 1. Since a, b, and c are integers that is a linear Diophantine equation.

Share:

- Last Post

- Replies
- 3

- Views
- 478

- Last Post

- Replies
- 1

- Views
- 362

- Last Post

- Replies
- 3

- Views
- 369

- Last Post

- Replies
- 1

- Views
- 816

MHB
Cubic and square

- Last Post

- Replies
- 0

- Views
- 450

MHB
Cubic equations

- Last Post

- Replies
- 1

- Views
- 539

- Last Post

- Replies
- 11

- Views
- 741

- Replies
- 15

- Views
- 704

- Replies
- 3

- Views
- 1K

- Last Post

- Replies
- 5

- Views
- 592