Question

if zeroes of p(x)=2x^2-7x+k are reciprocal of each other. find value of K

Answer 1

side zeroes are reciprocal.
hence their product will be 1.
hence. prod. of zero =c/a
1=k/2
hence k=2

Answer 2

Let one zero be x, so the other zero will be 1/x

We know that in a quadratic equation, the product of its zeroes = c/a

∴ x * 1/x = k/2
⇒ 1 = k/2
⇒ k =2