Question

IF roots of the quadratic equation ax²+bx+c=0 is.1:r .find relation between a,b,c,r?​

Answer 1

Answer:

Viete's theorem states that for the roots x1 and x2 of a quadratic equation \(ax^2+bx+c=0\):

x1+x2=

−b

a

AND x1∗x2=

c

a

.

Thus according to the above rs=

c

1

=c. So, we are basically asked whether c<0.

(1) b<0. Not sufficient.

(2) c<0. Directly answers the question. Sufficient.

Answer: B.