The discriminant of the equation $3x^2 - 6x + 4 = 0$ is .............

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

Find the discriminant of the following quadratic equation: $\sqrt{5} x^{2}-2 \sqrt{2} x-2 \sqrt{5}=0$.

State whether the quadratic equation $2 x^{2}+x-1=0$ has two distinct real roots. Justify your answer.

At $t$ minutes past $2\, pm$, the time needed by the minute hand of a clock to show $3\, pm$ was found to be $3\, minutes$ less than $\frac{t^{2}}{4}$ $minutes$. Find $t$.

Solve the following quadratic equation using the method of factorization: $x^{2} + 5x - 66 = 0$.