# Thread: Don't understand the question?

1. ## Don't understand the question?

If [14x / root(2x+2)], what is one possible value of x?

14x / root(2x+2) is a term not an equation!

I don't know how to figure it out..

The answer to this was 1/2

2. Originally Posted by juliak
If [14x / root(2x+2)], what is one possible value of x?

14x / root(2x+2) is a term not an equation!

I don't know how to figure it out..

The answer to this was 1/2
There is something missing from the question.

3. Have you posted the whole question?

4. ## well

IF x = 1/2, then your expression must equal 7 / sqrt(3):
14x / sqrt(2x + 2) = 7 / sqrt(3)

5. Originally Posted by juliak
If [14x / root(2x+2)], what is one possible value of x?
possible domain question?

x can be any value such that 2x+2 > 0

6. Originally Posted by juliak
If [14x / root(2x+2)], what is one possible value of x?
Well, one possible value is x= 0! A more interesting question is "what are all the possible values of x.

14x / root(2x+2) is a term not an equation!
That's true, but irrelevant. This problem did say anything about "solving an equation".

I don't know how to figure it out..

The answer to this was 1/2
No, an answer was 1/2. If x= 1/2 then $\displaystyle \frac{14x}{\sqrt{2x+2}}= \frac{14(1/2)}{\sqrt{2(1/2)+ 2}}= \frac{7}{\sqrt{3}}$ which is a perfectly good result. x can be 1/2. If x= 0, as I gave before, then
$\displaystyle \frac{14x}{\sqrt{2x+2}}= \frac{14(0)}{\sqrt{2(0)+ 2}}= \frac{0}{\sqrt{2}}= 0$ which is also a valid answer. Or x= 1000000 (for no paticular reason) then $\displaystyle \frac{14x}{\sqrt{2x+2}}= \frac{14(1000000)}{\sqrt{2(1000000)+ 2}}= \frac{14000000}{\sqrt{2000002}}$ which is again a perfectly good result. There are, literally, an infinite number of possible answers to this problem.

(But not all numbers. For example, if x= -1, that denominator becomes $\displaystyle \sqrt{2(-1)+ 1}= 0$ and you cannot divide by 0. If x= -2, you have $\displaystyle \sqrt{2(-2)+ 1}= \sqrt{-3}$, not a real number.)