Question

Find the zeros of the function f (x) = 4x^2-16

Answer 1

x=-2

x=2

Explanation:

We can think of this equation like a statement

"4 times what squared minus sixteen is equal to zero"

First, we need to rearrange the equation:

`4x^2=16`

Now using our common knowledge, we know that 4 times 4 is equal to 16

now we have another statement:

"x times x is going to be equal to 4"

*Remember that the two numbers have to be the same since x is squared*

Again, we can use common knowledge and say that 2x2 is equal to 4

This means that x=2

Now when you square a variable, the variable can have to values, a positive, and a negative value

So in this case, the other value for x would be x=-2 since -2 squared is also equal to 4

So we can come to a conclusion that

x=2

AND

x=-2