The roots of a quadratic equation $(x+2)^{2}=16$ are ..... .

Find the roots of the quadratic equation by using the quadratic formula:
$\frac{1}{2} x^{2}-\sqrt{11} x+1=0$

Obtain the roots of the following equation using the method of 'completing the square': $6x^2 + 11x + 3 = 0$

......... can be taken as the value of $k$,if one of the roots of the quadratic equation $k x^{2} - 7x + 6 = 0$ is $\frac{3}{2}$.

Verify whether the given value of $x$ is a solution of the quadratic equation or not: $\frac{1}{3-2x} + \frac{1}{5+2x} = \frac{1}{2}$; $x = -\frac{1}{2}$.

Examine whether the following equation is quadratic or not: $(x-3)(2x+1) = x(x+5)$