If p and q are the roots of the equation x2 + px + q = 0, th... | MATH - SOLUTION OF QUADRATIC INEQUATIONS AND MISCELLANEOUS EQUATIONS | SolveeIt | Solveeit

Today, August 19

Question

If p and q are the roots of the equation x² + 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

p = 1, q = –2

Explanation

Solution

Since p and q are roots of the equation x² + px + q = 0,

p + q = – p and pq = q ⇒ pq = q ⇒ q = 0 or p = 1.

If q = 0, then p = 0 and if p =1, then q = –2