The given function is
[tex]f(x)=2x^2-2x+13[/tex]Where a = 2, b = -2, and c = 13.
We can use the discriminant to see if the equation has zeros or not.
[tex]b^2-4ac=(-2)^2-4(2)(13)=4-104=-100[/tex]Given that the discriminant is negative, we can deduct that the function has no zeros.
