105k views
1 vote
What are the x intercepts of the function f(x)= 5x^2-25x over x​

2 Answers

3 votes

Final answer:

The x-intercepts of the function f(x) = 5x^2 - 25x / x are x = 0 and x = 5.

Step-by-step explanation:

The x-intercepts of a function are the values of x where the graph of the function intersects the x-axis.

To find the x-intercepts of the function f(x) = 5x^2 - 25x / x, we set f(x) equal to zero and solve for x.

5x^2 - 25x / x = 0

Since division by zero is undefined, we need to eliminate the denominator.

We can do this by multiplying both sides of the equation by x:

5x^2 - 25x = 0

Now, we can factor out the common factor of x and solve for x:

x(5x - 25) = 0

Setting each factor equal to zero gives us:

x = 0

and

5x - 25 = 0

From the second equation, we can solve for x:

5x = 25

x = 5

Therefore, the x-intercepts of the function f(x) = 5x^2 - 25x / x are x = 0 and x = 5.

User J Spen
by
8.5k points
3 votes

Answer :X = 0 OR X = 5

Step-by-step explanation:

User Luigi Siri
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories