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

y = 3x + 5 Step-by-step explanation:...

What are the zeros of f(x)=x^2-12x+36 - id21236731909, enitramedouard12

micahsocool23

12.03.2022

x=6

Step-by-step 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.

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