$y=x^{2}-3 x+5$

Step 1 ：The given equation is a quadratic equation in the form of \(ax^{2}+bx+c=0\). Here, \(a=1\), \(b=-3\), and \(c=5\).

Step 2 ：We can find the roots of this equation using the quadratic formula, which is \(x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}\).

Step 3 ：Substituting the values of a, b, and c into the discriminant formula \(D=b^{2}-4ac\), we get \(D=-11\).

Step 4 ：Since the discriminant is negative, the equation has no real roots. The roots are complex or imaginary.

Step 5 ：Final Answer: The roots of the equation \(y=x^{2}-3 x+5\) are \(\boxed{\text{Complex or Imaginary}}\).