- #1

- 13

- 0

substituting works but what if the equation is very long and you cant use calcu or computers

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

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

- Thread starter kevs926
- Start date

- #1

- 13

- 0

substituting works but what if the equation is very long and you cant 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

- 3,562

- 1,375

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 dont 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 dont verify it.