Solving for Y we get:
Y= X and Y= -X
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
2. why Y also doesn't take the negative sign just to keep the both sides of the orginal equation in balance?