The solution of $2-x=\frac{x-2}{x}$ would include

Solve the given two equations and select the correct answer from the given options.
$I.$ $18 x^{2}+18 x+4=0$
$II.$ $12 y^{2}+29 y+14=0$

The equation whose roots are $\frac{1}{3 + \sqrt{2}}$ and $\frac{1}{3 - \sqrt{2}}$ is

$I. x^{2}+10 x+24=0$
$II. 4 y^{2}-17 y+18=0$

The roots of the equation $(a^2 + b^2)t^2 - 2(ac + bd)t + (c^2 + d^2) = 0$ are equal,then

If $\alpha, \beta, \gamma$ are roots of $x^3 - 2x^2 + 3x - 2 = 0$,then the value of $\left( \frac{\alpha\beta}{\alpha + \beta} + \frac{\alpha\gamma}{\alpha + \gamma} + \frac{\beta\gamma}{\beta + \gamma} \right)$ is