Solve the given two equations and select the correct option.
$I. 15x^2 - 46x + 35 = 0$
$II. 4y^2 - 15y + 14 = 0$

Solve the given two equations and select the correct answer from the given options.
$I.$ $2x^2 + 13x - 7 = 0$
$II.$ $2y^2 - 5y + 3 = 0$

Solve the given two equations and select the correct answer from the given options.
$I. 3x^2 - 4x - 32 = 0$
$II. 2y^2 - 17y + 36 = 0$

Solve the given two equations and select the correct answer from the given options.
$I.$ $\frac{12 \times 4}{x^{4/7}} - \frac{3 \times 4}{x^{4/7}} = x^{10/7}$
$II.$ $y^3 + 783 = 999$

If $m = -4$ and $n = -2$,then the value of $m^{3} - 3m^{2} + 3m + 3n + 3n^{2} + n^{3}$ is

Divide $16$ into $2$ parts such that twice the square of the larger part exceeds the square of the smaller part by $164$.