$x=3$ is a solution of the equation $3x^{2} + (k-1)x + 9 = 0$ if $k$ has the value:

Solve the given two equations and select the correct option.
$I.$ $42x - 17y = -67$
$II.$ $7x - 12y = -26$

The roots of the equation $ix^2 - 4x - 4i = 0$ are

Solve the given two equations and select the correct answer from the given options.
$I.$ $x^{3} - 468 = 1729$
$II.$ $y^{2} - 1733 + 1564 = 0$

Let $\alpha, \beta$ be the roots of $x^2 - x + p = 0$ and $\gamma, \delta$ be the roots of $x^2 - 4x + q = 0$. If $\alpha, \beta, \gamma, \delta$ are in $G.P.$,then the integral values of $p, q$ are respectively:

Solve the given two equations and select the correct answer from the given options.
$I.$ $x^{2}-24x+144=0$
$II.$ $y^{2}-26y+169=0$