QuestionThe roots of the equation $a x^{2}+b x+c=0$ are $-\frac{1}{2}$ and $-\frac{3}{2}$. Find the values of $a, b$ and $c$.
The interior angles of a polygon are: $(2 t+1)^{\circ},(3 t-2)^{\circ},(4 t)^{\circ}(5 t-2)^{\circ},(2 t-1)^{\circ}$ and $(3 t+2)^{\circ}$. Find the: (i) value of $t$, (ii) difference between the largest and smallest angle.