Question

If one root of a quadratic polynomial p(x) = 5x2 + 13x + k is the reciprocal of the other,then find the value of k.

Answer 1

Answer

let One Root= @

Other Root. =1/@

Given; 5x^+13x+k is a polynomial

Then :

@*1/@=k/5. (Product of zeroes)

1=k/5

k=5

The value of k=5

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