If one root of quadratic equation (k+1)x2-5x+2k=0 is reciprocal of other than value of k is??

                      If one root of quadratic equation

           (k+1)x²-5x+2k=0 is reciprocal of

            other than value of k is??     

Answer

Let one root of quadratic equation =α

Then, second root will be 1/α

We have (k+1)x²-5x+2k=0

Sum of zeroes= -b/c and

Product of zeroes= a/c

α×1/α = (k+1)/ 2k

1 = (k+1)/ 2k

2k = (k+1)

K =1

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