Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

if a+b+c=0, show that the roots of eq. ax*x+bx+c=0 are rational

Asked by pulakananda 18th February 2011, 9:29 PM
Answered by Expert
Answer:
Dear Student,
Here is the solution:
 
Since a + b + c = 0 hence b = -(c + a)

The given quadratic equation is ax2 + bx + c = 0

Or ax2 –(c + a)x + c = 0 (1)

The discriminant of equation (1) is {-(c + a)}2 – 4ac = (c + a)2 – 4ac = (c - a) 2

Since a, b, c are rational and the discriminant of equation (1) is a perfect square, hence the roots of (1) are rational. 
 
Regards
Team Topperlearning.
Answered by Expert 23rd February 2011, 7:23 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp