What is RHS?By definition, the squareroot of anything is non-negative. ie >=0. So the RHS must be non-negative, ie x <= 4.
2 + sqrt(5) > 4, so if you If you sub 2 + sqrt(5) into the RHS, the RHS will be negative.
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!
RHS = Right Hand SideWhat is RHS?
RHS means right hand side.What is RHS?
Maybe he thought this was “Different Equations”?
I am taking mathematics... The education system is different around the world, please keep that in mind.
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 am taking mathematics... The education system is different around the world, please keep that in mind.
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?
-Dan
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?Not quite, Loki. In your check below, that first equation is not true (as the cat had noted, in post #2).
View attachment 29054
It says that 4.2361 equals -4.2361 (rounded).
?
You'd started the check with a false equation. See post #7. That equation is not true.where did I make a mistake
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.