Question

Find the sum and product of the roots of equation $x^2+2x+1=0$

Answer 1

The given equation is in the form $a{x}^2+bx+c=0$, where $a=1,b=2,c=1$
Let the roots be $m$ and $n$
(i) Sum of the roots $m+n=\frac{-b}{a}=\frac{-2}{1}\therefore m+n=-2$
(ii) Product of the roots $mn=\frac{c}{a}=\frac{1}{1}\therefore mn=1$