How do you solve #3/(x-3)=x/(x-3)-3/2#?
2 Answers
There are no solutions.
Explanation:
put the RHS over a common denominator
that gives us
cross multiply to make it a linear problem (no fractions)
collect all terms onto one side
Factorise
so
If
The graph of
Thanks @georgec for the update.
There is no value of
Explanation:
Given:
#3/(x-3) = x/(x-3)-3/2#
Adding
#3/2 = (x-3)/(x-3) = 1" "(x != 3)#
Since this is false, there is no value of
Here are the graphs of the left hand side and right hand side of the given equation plotted together:
graph{(y-3/(x-3))(y - (x/(x-3)-3/2)) = 0 [-10, 10, -5, 5]}
The two hyperbolas do not intersect, but have a common vertical asymptote at