The quadratic equation ${ 2x }^{ 2 }-\sqrt { 5x } +1=0$ has

Given equation is $2x^2 - \sqrt{5} x + 1 = 0$

On comparing with $ax^2 + bx + c = 0$ we get

$a = 2 , b = -\sqrt{5}$ and $c = 1$

$D = b^2 - 4ac$

$= (-\sqrt{5})^2 - 4 \times 2 \times 1 = 5 - 8$

$\therefore$ Discriminant $=-3 < 0$

Since, discriminant is negative $\therefore$ quadratic equation $2x^2 - \sqrt{5} x + 1 = 0$ has no real roots . i.e, imaginary roots.