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  • If the product of the roots of the equation x^2 -2 square root 2 (kx) +2e^ln k-1=0 is 31 , then the roots of the equation are for

If the product of the roots of the equation x^2 -2 square root 2 (kx) +2e^ln k-1=0 is 31 , then the roots of the equation are for

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Solution:     The given equation can be wrttine as

                          x^2-2 sqrt2kx+2k^2-1=0

               Now ,         alpha eta =2k^2-1=31

               Rightarrow                       k=pm4

            But  , for   k=-4 , the given equation become  inconsistant

             For        k=4,D=4> 0.

Posted by

Deependra Verma

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