Complex Numbers And Quadratic Equations question 452
Question: If p and q are the roots of the equation $ x^{2}+px+q=0 $ , then
Options:
A) p =1, q=-2
B) p =0, q=2
C) p =-2, q=0
D) p =-2, q=1
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ p+q=-p $ and $ pq=q $ gives $ q(p-1)=0\Rightarrow q=0orp=1 $ If q=0, then p=0, i.e., p=q Therefore, p=1 and q=-2.