Respuesta :
The zeros of a function are also known as the roots of the function
The correct option for the zeros of f(x) = x² - 10·x + 25 is the option D.
D. x = 5 only
The reasons why the selected option is correct are given as follows:
The given equation is presented as follows;
f(x) = x² - 10·x + 25
Solution:
The zeros are the values of x when the equation is equal to zero which is given as follows;
x² - 10·x + 25 = 0
By observation, we have;
Given that the coefficient of x² is one, and we have that 25 = (-5) × (-5), and -10 = -5 + (-5), therefore, we can write;
- 0 = x² - 10·x + 25 = (x - 5)·(x - 5)
- Which gives, either x = 5 , or x = 5
Therefore, the zeros of the function is 5 only, and the correct option is option D.
Learn more about the zeros of a function here:
https://brainly.com/question/13595747