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Verified Answer :

(5x^2-25x)/x
simplify
((x)(5)(x-5))/x=5(x-5)=5x-25=f(x)
(just fyi, that x we cancled is a hole)
set to zero
5x-25=0
5x=25
divide 5
x=5

zeroe is at x=5
or (5,0)


x=5 is answer

Answer:

x=5

Step-by-step explanation:

\(f(x)= \frac{5x^2-25x}{x}\)

To find out zeros we replace f(x) with 0

\(0= \frac{5x^2-25x}{x}\)

Now solve for x

first we divide the numerator by x

\(0=5x-25\)

Now we facor out GCF 5

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

Divide by 5 on both sides

\(0=x-5\)

Add 5 on both sides

x= 5

zero of the function is x=5