Y=X^1/2 is the same as Y=+/-sqrt(X) ?? 1. The problem statement, all variables and given/known data This is from a textbook: Y=X^1/2 is the same as Y=+/-sqrt(X) 2. Relevant equations 3. The attempt at a solution 100^1/2=10 How is 100^1/2=-10 also true? Thanks.
Re: Y=X^1/2 is the same as Y=+/-sqrt(X) ?? Thank You for the answer, tiny-tim. As for the book, I dont wanna name it and make the otherwise excellent textbook look bad.
Re: Y=X^1/2 is the same as Y=+/-sqrt(X) ?? Actually, you would be doing the author a favor by telling us the name and author of the book; that way, professionals could write to him/her about the error, so it could be fixed in subsequent editions. RGV
Re: Y=X^1/2 is the same as Y=+/-sqrt(X) ?? On the other hand, if the author is explaining how to solve y^{2} = x, for y, or solve y^{2} = 100 for y, then the answers are:y = ± √(x) = ±(x)^{1/2} for y^{2} = x y = ±10 for y^{2} = 100If this is the case you have only told us part of what the textbook was claiming, although the author may have also left a few details out of her/his explanation.