Question

If $p$ and $q$ are the roots of the equation $x^2+px+q=0$, then

• A. p = 1, q = -2
• B. p = 0, q = 1
• C. p = -2, q = 0
• D. p = -2, q = 1

Answer 1

Answer: (A)

$p+q=-p$ and $pq=q$
$\Rightarrow q(p-1)=0$
$\Rightarrow q=0$ or $p=1$
If $q=0$, then $p=0$, i.e. $p=q$
$\therefore p=1$ and $q=-2$