Question

Solve 6 over x minus 3 equals 3 over x for x and determine if the solution is extraneous or not.

Answer 1

Answer:x=-3 nonextraneous

Explanation:

Answer 2

Non-extraneous x = −3

Explanation:

Here, the given expression is,

`(6)/(x-3)=(3)/(x)`

`\implies 6x = 3(x-3)` ( By the cross multiplication ),

`\implies 6x = 3x - 9`

`\implies 6x - 3x = -9`

`\implies 3x = -9`

`\implies x = -3`

Since, an extraneous solution is a solution, which is emerged by solving the equation but it does not satisfying the equation,

But for x = -3, the equation
`(6)/(x-3)=(3)/(x)` follows,

⇒ x = -3 is the non-extraneous,

⇒ The given equation has only one solution x = -3 which is non-extraneous.