Question

Find the sum and product of the roots of equation $3x^2+5=0$

Answer 1

The given equation is in the form $a{x}^2+bx+c=0$, where $a=3,b=0,c=5$
Let the roots be $p$ and $q$
(i) Sum of the roots $p+q=\frac{-b}{a}=\frac{0}{3}\therefore p+q=0$
(ii) Product of the roots $pq=\frac{c}{a}=\frac{5}{3}\therefore pq=\frac{5}{3}$