Answer: [tex]x=\frac{5 \pm \sqrt{10}}{3}[/tex]
Step-by-step explanation:
[tex]3x^2 - 10x+5=0\\[/tex]
Here, a=3, b=-10, and c=5.
[tex]x=\frac{-(-10) \pm \sqrt{(-10)^{2}-4(3)(5)}}{2(3)}\\\\x=\frac{10 \pm \sqrt{40}}{2(3)}\\\\\boxed{x=\frac{5 \pm \sqrt{10}}{3}}[/tex]