What are the zeros of f(x) = x2 – 10x + 25? a. x = –5 and x = 10 b. x = –5 only c. x = –5 and x = 5 d. x = 5 only

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;

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:

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step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

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