Question

What is the solution of this equation if the extraneous solution is eliminated? Use the options in the drop-down menus to form the correct answer

in decimal form. Help meeee pls :)

Answer 1

1.2

Explanation:

Answer 2

The calculated solution
`(1)/(((3x)/(2)) - 1) - \frac{1}x = (1)/(2x)` to the equation for the variable x is x = 1.2

How to determine the solution to the equation

From the question, we have the following parameters that can be used in our computation:

`(1)/(((3x)/(2)) - 1) - \frac{1}x = (1)/(2x)`

Add 1/x to both sides of the equation

So, we have

`(1)/(((3x)/(2)) - 1) = (1)/(2x) + \frac{1}x`

Evaluate the equation

`(1)/(((3x)/(2)) - 1) = (3)/(2x)`

Take the inverse of both sides

`(3x)/(2) - 1 = (2x)/(3)`

Collect the like terms

`(3x)/(2) - (2x)/(3) = 1`

So, we have

`(9x - 4x)/(6) = 1`

Next, we have

`(5x)/(6) = 1`

Cross multiply

5x = 6

Divide both sides by 5

x = 6/5

Evaluate

x = 1.2

Hence, the solution to the equation is x = 1.2