Question

What are the zero(s) of the function f(x) = the quantity of 5 x squared minus 25 x, all over x?

Answer 1

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.

Answer 2

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