Find the roots of the following quadratic equation by using the quadratic formula,if they exist: $9x^{2} - 5x + 3 = 0$.

(NONE) Comparing the given equation $9x^{2} - 5x + 3 = 0$ with the standard form $ax^{2} + bx + c = 0$,we get:
$a = 9, b = -5, c = 3$.
Now,calculate the discriminant $D = b^{2} - 4ac$:
$D = (-5)^{2} - 4(9)(3)$
$D = 25 - 108$
$D = -83$.
Since the discriminant $D < 0$,the square root of $D$ is not a real number.
Therefore,the quadratic equation $9x^{2} - 5x + 3 = 0$ has no real roots.