SOLUTION: the problem:
1/2 + 3/x = x+6/2x
How does the x get from denominator to numerator? I'm not sure how to work the problem to get the x on top.
Please help explain this. Tha
Question 146052: the problem:
1/2 + 3/x = x+6/2x
How does the x get from denominator to numerator? I'm not sure how to work the problem to get the x on top.
Please help explain this. Thank you.
Lorraine Found 2 solutions by Edwin McCravy, BrittanyM:Answer by Edwin McCravy(20054) (Show Source):
You can put this solution on YOUR website!
How does the x get from denominator to numerator?
I'm not sure how to work the problem to get the x on top.
Please help explain this. Thank you.
Put all the terms in parentheses:
Look at all the denominators:
, and
The LCD of these is , so
we write as and
multiply every term by it
Cancel the 's in the first term on the left.
Cancel the 's in the second term on the left.
Cancel the 's in the term on the right:
adding to both sides
This is a true numerical identity.
Therefore the answer would be
{all real numbers}, however we can see
that x cannot be 0 since it would
cause two denominators in the original
equation to be 0. Therefore any value
of x except 0 is a solution. So the
solution set is graphed as:
<=====================o====================>
-5 -4 -3 -2 -1 0 1 2 3 4 5
or in interval notation: (,)(,)
Edwin
For the equation we've been given, the best way to solve is to find a common denomoiatior and cancel.
We have:
+ = x +
In order to get rid of all of these fractions and get all of the x's to the top, we need to find a common denominator and then we can canel all of the denominators out.
for this problem, our best bet for the common denominator is 2x.
+ = +
Now, because this is an equation and each side is equal, we can cancel out all of the denominators.
(