- #1

bean29

- 4

- 0

suppose that x and y are real numbers. Prove that if x≠0 then if y= 3x^2+2y/x^2+2 then y=3

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.

- Thread starter bean29
- Start date

- #1

bean29

- 4

- 0

suppose that x and y are real numbers. Prove that if x≠0 then if y= 3x^2+2y/x^2+2 then y=3

- #2

mathman

Science Advisor

- 8,065

- 542

y(1-2/x^{2}) = 3x^{2} + 2

y = (3x^{4} + 2x^{2})/(x^{2}-2)

Doesn't look constant.

y = (3x

Doesn't look constant.

- #3

rubi

Science Advisor

- 847

- 348

[tex]y = \frac{3x^2+2y}{x^2+2}[/tex].

Then it works out:

[tex]y x^2 + 2y = 3x^2 + 2y \Leftrightarrow y x^2 = 3 x^2 \Leftrightarrow y = 3[/tex]

- #4

mfb

Mentor

- 36,101

- 13,024

Share:

- Last Post

- Replies
- 4

- Views
- 646

- Last Post

- Replies
- 3

- Views
- 1K

- Replies
- 1

- Views
- 273

- Last Post

- Replies
- 2

- Views
- 2K

- Replies
- 1

- Views
- 87

- Replies
- 0

- Views
- 388

- Replies
- 4

- Views
- 446

- Last Post

- Replies
- 8

- Views
- 2K

- Replies
- 0

- Views
- 683

- Replies
- 15

- Views
- 551