The quadratic equation has 1. two distinct real roots 2. two equal real roots 3. no real roots 4. more than two real roots

In order to find nature of roots we need to find the value of, b 2 - 4ac Given, Comparing equation with ax 2 + bx + c = 0 a= 2 , b = - , c = 1 Putting values in b 2 - 4ac Since, b 2 - 4ac = -3 0 , hence there are no real roots ∴ Option 3 is the correct option.