Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739
For Business Enquiry

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

Find k:

Asked by 27th April 2010, 3:23 PM
Answered by Expert
Answer:

Dear Student,

Let the two zeroes of the given equation be α and .

Now, we know that

α + β= -b/a

=> α + β= -1/6      (since a= 6, b=1 and c=k)

Also,

αβ= c/a

=> αβ= k/6

 

Now,

(α+β)2= α2 + β2 + 2αβ

=> (-1/6)2= 25/36 + 2k/6            (Since sum of squares of zeroes is given to be 25/36)

=> 1/36 = 25/36 + 12k/36

=> 12k = -24

=> k = -2

 

Hence, k = -2.

 

Regards Topperlearning.

Answered by Expert 27th April 2010, 9:26 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