Respuesta :

0 = [tex] \frac{5 x^{2}-25x }{x} [/tex] ,  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 [tex]f(x)=\frac{5x^2-25x}{x}[/tex]

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

[tex]5x-25[/tex]

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

[tex]5(x-5)[/tex]

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

[tex]5(x-5)=0[/tex]

We will get value of x

x=5

Therefore, option A is correct.