Question

The sum and product of the roots of the equation $x^2+2x+1=0$ are respectively,

• A. $2$ and $-1$
• B. $-2$ and $1$
• C. $-2$ and $-1$
• D. $1$ and $2$

Answer 1

Answer: (B)

$-2$ and $1$

By using $(a+b{)}^2=a^2+b^2+2ab$

We can see that $(x+1{)}^2=x^2+2x+1$

So $x^2+2x+1=0$

can be written as $(x+1{)}^2=0$

which is $x+1=0$

So $x=-1,-1$ are the roots of the equation

Sum $=$ $-2$

Product $=$ $1$