Multiple choice

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

  1. $\mathrm { p } = 1 , \mathrm { q } = - 2$
  2. $p = 0 , q = 1$
  3. $\mathrm { p } = - 2 , \mathrm { q } = 0$
  4. $p = - 2 , q = 1$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Since p and q are the roots of the quadratic equation x^2 + px + q = 0, the sum of the roots is p + q = -p, which simplifies to q = -2p. The product of the roots is p * q = q. If q is not zero, dividing both sides by q gives p = 1, which then yields q = -2.

Keep practicing — related questions