Question

What are the zeros of f(x)=x^2-12x+36

Answer 1

x=6 only

Explanation:

Answer 2

`x=6`

Explanation:

We have been given a function
`f(x)=x^2-12x+36`. We are asked to find the zeros of our given function.

We can recognize from our given function formula that it is a perfect square as:

`f(x)=x^2-12x+36=x^2-(2*6*x)+6^2=(x-6)^2`

Using zero product property we will get:

`(x-6)^2=0`

Upon taking square root of both sides, we will get:

`x-6=0`

Upon adding 6 on both sides, we will get:

`x-6+6=0+6`

`x=6`

Therefore,
`x=6` is a zero for our given function.