Question

if two zeros of quadratic polynomial is 7x^2-15x-k are reciprocal of each other .find k

Answer 1

One zero is reciprocal of other , so for example if a is one of the zeroes , the other zero is 1/a

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Answer 2

Product of zeroes =alpha×1by alpha =c by a _ 1 equation

And c by a= -k by 7

Now put c by a in equation 1

Then we get k =-7