Identify the zeros of the function f(x) = 2{x}^(2) - 2x + 13show your work.

Question

Identify the zeros of the function
`f(x) = 2{x}^(2) - 2x + 13`show your work.

Answer 1

The given function is

`f(x)=2x^2-2x+13`

Where a = 2, b = -2, and c = 13.

We can use the discriminant to see if the equation has zeros or not.

`b^2-4ac=(-2)^2-4(2)(13)=4-104=-100`

Given that the discriminant is negative, we can deduct that the function has no zeros.

Hence, the function has no zeros.