Verified Answer :

HomertheGenius

0 = \(\frac{5 x^{2}-25x }{x}\) ,  x ≠ 0 ( we can´t divide by zero)
5 x² - 25 x = 0
x ( 5 x - 25 ) = 0
5 x - 25 = 0
5 x = 25
x = 25 : 5 = 5
Answer: A) x = 5

Answer:

Option A is correct that is x=5.

Step-by-step explanation:

we have given a function \(f(x)=\frac{5x^2-25x}{x}\)

Firstly, we will take the common factor out from numerator and denominator  which is x and it  will get cancel from the fraction  we will get

\(5x-25\)

Now we will take again the common factor out which is 5 we will get

\(5(x-5)\)

Here, we will equate the expression to zero we will have

\(5(x-5)=0\)

We will get value of x

x=5

Therefore, option A is correct.

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