Question

Help!!! Will give medal!!!
1. Solve the following equation and check the solution. 4/x-2 = x-1/x-2

2. Determine if the hyperbola is vertical or horizontal. Then find the vertices, foci, and asymptotes.
Y^2/25 = x^2/100 =1

Answer 1

Is this the problem:
\[\frac{4}{x-2}=\frac{x-1}{x-2}\]

Answer 2

Or is the problem the one you have posted which is:
\[\frac{4}{x}-2=x-\frac{1}{x}-2\]

Answer 3

If other users have to ask you for clarification regarding what you meant here, that's a sure sign that you should consider using parentheses to indicate which math operations are to be done first. How else is one to know whether you are dividing by x or by x-2?

Answer 4

my opinion is correct wrote how is above wrote by Mertsj

so in this way the first step this recstriction of x not equal by 2 bc. than result denominator equal zero and hence the fraction is undefined

- and the other way bc. denominators are same x-2 so just made equal the numerators and solve them for x

so will result

4=x-1
x=5

hope this will help you