Answer:
the solution of given rational equation is x= 3/2
Step-by-step explanation:
[tex]\frac{x}{2x-1}+\frac{1}{4} = \frac{2}{2x-1}[/tex]
We need to solve the above rational equation and find value of x
Finding LCM of 4 and (2x-1) we get 4(2x-1).
Multiplying 4(2x-1) on both sides of equation and solving
[tex]\frac{x}{2x-1}*4(2x-1)+\frac{1}{4}*4(2x-1) = \frac{2}{2x-1}*4(2x-1)\\4x+2x-1=8\\6x-1=8\\6x=8+1\\6x=9\\x=9/6\\x=3/2[/tex]
So, the solution of given rational equation is x= 3/2
