Question 77842: In order for the following fraction to be defined, what value(s) can x not assume?
7/[(2/x)-(3/5)] Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! In order for the following fraction to be defined, what value(s) can x not assume?
Lets look at the denominator(). The LCM is 5x. To simplify, we will multiply both numerator and denominator of this term by 5x/5x and we get:
-------------------Now we have:
Now we will multiply the numerator and denominator by Notice that this will make the denominator =1 and we get:
or Now we can see that
10-3x cannot equal zero, so 3x cannot equal 10 or x cannot equal (10/3)