Answer:
Non-extraneous x = −3
Step-by-step explanation:
Here, the given expression is,
\(\frac{6}{x-3}=\frac{3}{x}\)
\(\implies 6x = 3(x-3)\) ( 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 \(\frac{6}{x-3}=\frac{3}{x}\) follows,
⇒ x = -3 is the non-extraneous,
⇒ The given equation has only one solution x = -3 which is non-extraneous.
