Solve, using formula :

$x^2 + x - (a + 2) (a + 1) = 0$

Solve the quadratic equation $8x^2-14x + 3 = 0$

 When $\mathrm{x}\in \mathrm{I}$ (integers)

Solve the quadratic equation $8x^2-14x + 3 = 0$

 When $\mathrm{x}\in \mathrm{Q}$ (rational numbers)

Find, using the quadratic formula, the roots of the following quadratic equations, if they exist

$3x^2-5x+2=0$

Find, using the quadratic formula, the roots of the following quadratic equations, if they exist

$x^2+4x+5=0$

Solve:

$\frac{1}{18-x}-\frac{{\displaystyle 1}}{18+x}=\frac{1}{24}$and $x>0.$