We were taught to find the domain which is why I am trying to do it that way. I tried to just check the answers, but they both ended up working. Here is my work on that:I would NOT find the domain. If you insist on doing it that way, then as Harry-the-cat pointed out you must also include in your domain that the right hand side must be positive. That is that 4-x > 0 or that x<4.
In this problem, I would simply solve the problem and then check my answer to see if any are erroneous.
Also stop using a calculator to see what 2+ sqrt(5) lies between.
We know that 2=sqrt(4) < sqrt(5) < sqrt(9) = 3. So sqrt(5) lies between 2 and 3. Hence 4 = 2+2 < 2 + sqrt(5) < 2+3 = 5. So yes, sqrt(5)>4!
Mathematics. But we call it just math.Please understand that I'm no longer getting on your case but is your class actually named "Mathematics?" What is the exact name of the class?
I was trying to see if it's true by simplifying it... I got the same result on both side at the end, where did I make a mistake for that to happen if the equation is not true?
Perhaps I am not explaining myself the best. Imagine if the = wasn't there. I didn't move anything from one side to the other so it makes no difference. So say I was just repeating same actions on two problems, how did I in the end get them to equal the same thing if they weren't the same from the start?You'd started the check with a false equation. See post #7. That equation is not true.