Answered

Solve 6 over x minus 4 equals 4 over x for x and determine if the solution is extraneous or not.

Verified Answer :

Answer:

x= -8 not extraneous.

Step-by-step explanation:

We have been given the expression:

\(\frac{6}{x-4}=\frac{4}{x}\)

We will cross multiply the terms we get:

\(6x=4(x-4)\)

Now, we will simplify we get:

\(6x=4x-16\)

\(6x-4x=-16\)

\(2x=-16\)

\(x=-\frac{16}{2}\)

\(x=-8\)

Extraneous is the point  which is not included in the domain of the function.

-8 is not extraneous.

boffeemadrid

Answer:

x=-8 is not extraneous.

Step-by-step explanation:

The given equation is :

\(\frac{6}{x-4}=\frac{4}{x}\)

On cross multiplying the terms, we get

\(6x=4(x-4)\)

⇒\(6x=4x-16\)

⇒\(6x-4x=-16\)

⇒\(2x=-16\)

⇒\(x=\frac{-16}{2}\)

⇒\(x=-8\)

Now, Extraneous is the point  which is not included in the domain of the function but x=-8 is included in the domain of the given function.

Thus, x=-8 is not extraneous.

Related Questions