CBSE Class 10 Answered
Find k:
Asked by | 27 Apr, 2010, 03:23: PM
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 | 27 Apr, 2010, 09:26: PM
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