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Question 54617: 3/2x-2 + 1/2 = 2/x-1
Note the restrictions.
Thanks!
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! 3/2x-2 + 1/2 = 2/x-1
Since the denominator cannot equal to zero, set each denominator equal to zero and solve for the restriction:
3/2x-2
(2x-2)=0
2x-2=0
2x=2
x=1
So, when x=1, the denominator equals zero which is not acceptable:
3/2x-2
3/2(1)-2
3/2-2
3/0 [Unacceptable because you cannot divide by zero]
So the first restriction is that x cannot equal 1
.
Try the other fraction containing x in the denominator:
2/x-1
(x-1)=0
x-1=0
x=1
So, when x=1, the denominator equals zero which also is not acceptable:
2/x-1
2/(1)-1
2/0 [Cannot divide by zero, so, in this fraction also, x cannot equal to one]
.
The restrictions are any real number, except that x cannot equal (1).
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