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.