(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

sqrtY^2=sqrtX^2

Solving for Y we get:

Y= X and Y= -X

2. Relevant equations

3. The attempt at a solution

Since both sides of sqrtY^2=sqrtX^2 are equal I thought the equation would solve simply as Y= X. Turns out it has also the second part Y= -X.

My questions are since both sides of the equation sqrtY^2= sqrtX^2 are EQUAL

1. why don't we just get Y=X

or

2. why Y also doesn't take the negative sign just to keep the both sides of the orginal equation in balance?

Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Freeing up the variables of an equation and assigning signs to them

**Physics Forums | Science Articles, Homework Help, Discussion**