Discussion

Explanation:

Dividing the equation ab2x2 + b2cx + c3 = 0 by c2, we get

abxc2 + bbxc + c = 0

Since α and ß are roots of ax2 + bx + c = 0

bxc = α or ß

⇒ x = cbα or cbß

Now, we know α + ß = -b/a and αß = c/a
Dividing both equations, we get
cb = - αßα+ß

⇒ x = cbα =-α2ßα+ß or cbß = -αß2α+ß

Hence, -α2ßα+ß and -αß2α+ß are the roots of the equation ab2x2 + b2cx + c3 = 0.

Hence, option (a).

» Your doubt will be displayed only after approval.


Doubts


Feedback

Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.


© 2024 | All Rights Reserved | Apti4All