- #1

- 13

- 0

substituting works but what if the equation is very long and you can't use calcu or computers

http://i.imgur.com/SkcQZ.png

also is there a way to solve this without squaring both sides?

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 kevs926
- Start date

- #1

- 13

- 0

substituting works but what if the equation is very long and you can't use calcu or computers

http://i.imgur.com/SkcQZ.png

also is there a way to solve this without squaring both sides?

- #2

- 13

- 0

also i think negative sqrt answers will come naturally.

but still, is there a way to solve this without squaring both sides?

- #3

- 5,695

- 2,475

In this example the equation +sqrt(...)=1-x has two roots in R but the equation -sqrt(...)=1-x has no root in R (and no root in C also). I don't see other way to show the latter result, other than squaring, finding the two roots and then by substitution in the original equation to find out that they don't verify it.

Share:

- Replies
- 4

- Views
- 263

- Replies
- 3

- Views
- 636

- Replies
- 4

- Views
- 903

- Replies
- 1

- Views
- 871

- Replies
- 1

- Views
- 502

- Replies
- 6

- Views
- 2K

- Replies
- 6

- Views
- 1K

- Replies
- 1

- Views
- 254

- Replies
- 1

- Views
- 604

- Replies
- 1

- Views
- 679