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.