If the value of the discriminant of a quadratic equation is $D = 0$,then the value of each root is .... .

State whether the quadratic equation $3 x^{2}-4 x+1=0$ has two distinct real roots. Justify your answer.

The value of discriminant $D$ for the equation $(x+2)(x-5)=0$ is ............

If the following quadratic equation has two equal and real roots,then find the value of $k$: $k x^{2} - 24 x + 16 = 0$.

State whether the following statement is 'True' or 'False'. Justify your answer: If in a quadratic equation the coefficient of $x$ is zero,then the quadratic equation has no real roots.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $4x^{2} - 5x + k = 0$.