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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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