Valmont wrote: » I had to look at the solution for a geometry problem and one of the steps is beyond me at the moment, I hope someone can help: 1. SQRT((X/2)^2)+(X/2)^2)) becomes 2. SQRT(2*(X^2/2^2) I understand this step but... becomes 3. x/SQRT(2) When I try to simplify step 2 I always get SQRT(2)*X/2 - I don't see how to get to step 3? Thanks in advance and I hope my equations make sense?
Valmont wrote: » Thank you both. TheBody, how did you get the graphics in your post?
Valmont wrote: » I have another seemingly insoluble algebra problem. I have to solve the following equation for y in order to graph the line: [latex]12+5\frac{-y+7}{2}=3y[/latex] My answer was repeatedly, after many checks and rechecks, [latex]y=\frac{59}{11}[/latex]. After being told it was incorrect, I entered the equation into this online calculator which again gives the answer as [latex]y=\frac{59}{11}[/latex]. Naturally I marked the question as wrong I looked up the solution which has an equally logical but completely different solution. They take [latex]12+5\frac{-y+7}{2}=3y[/latex] and turn it into [latex]24-5y-35=6y[/latex] and I understand how this is done. The only problem is that if we now solve for y we get [latex]y=-1[/latex]! One has to be wrong which means either Khanacademy are wrong or the mathpapa.com online calculator is! Please help!