Online Course Discussion Forum
Why can't there be a negative root for a radical function?
This topic is referring to Math Challenge II-A Algebra Lecture 7 Radical Equations. Why can't we also assume that there is a negative solution for a square root when the equation has two distinct real roots? e.g. if the square root of x's absolute value is 3, then why can't the equivalent of the square root of x be negative three? My description might be inaccurate since I can't give the best case I can, but it's just that I'm confounded that sometimes we only solve x for a positive solution. Why is it?