Question

What is the solution to the rational equation x over 2x minus 1 plus 1 over 4 equals 2 over 2x minus 1

Answer 1

x= 3/2

Explanation:

I took the test

Answer 2

the solution of given rational equation is x= 3/2

Explanation:

`(x)/(2x-1)+(1)/(4) = (2)/(2x-1)`

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

`(x)/(2x-1)*4(2x-1)+(1)/(4)*4(2x-1) = (2)/(2x-1)*4(2x-1)\\4x+2x-1=8\\6x-1=8\\6x=8+1\\6x=9\\x=9/6\\x=3/2`

So, the solution of given rational equation is x= 3/2