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Asked by
27th April 2010,
3:36 PM
Answered by Expert
Answer:
Dear Student,
Let the smaller of the two zeroes be α. then the other root is 7α.
The given quadratic equation is
3x2 - 8x - (2k+7) = 0
Now,
Sum of roots = -b/a
=> α + 7α = -(-8)/3
=> 8α = 8/3
=> α=1/3.
Therefore the two roots are 1/3 and 7/3.
Also, product of roots = c/a
=> 7α2 = -(2k+1)/3
=> 7/9 = -(2k+1)/3
=> 7 = -6k - 3
=> -6k = 10
=> k = -10/6.
Regards Topperlearning.
Answered by Expert
27th April 2010,
9:52 PM
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