if the zeroes of p(x) = 2x2 - 7x + k are reciprocal of each other then value of k - Maths - Polynomials

Question

if the zeroes of p(x) = 2x2 - 7x + k are reciprocal
of each other then value of k is :-

Samridhi Sharma · Accepted Answer

Let one of the zeroes of the given polynomial be 'a' So the
other zero will be '1/a'
their product = 1 =c/a
1= k/2
k=2

if the zeroes of p(x) = 2x2 - 7x + k are reciprocal of each other then value of k is :-