Complex Numbers And Quadratic Equations question 568

Question: Roots of the equation $ x^{2}+bx-c=0(b,c>0) $ are

Options:

A) Both positive

B) Both negative

C) Of opposite sign

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Since $ b,c>0 $ . Therefore $ \alpha +\beta =-b<0 $ and $ \alpha \beta =-c<0 $ Since product of the roots is - ve therefore roots must be of opposite sign.