Question

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

Answer 1

Hey there!

Let ax²+bx+c be a quadratic polynomial then,

Product of zeroes = c/a .

Given, Zeroes of p(x) are reciprocals to each other.

We know that, Product of reciprocals = 1 .

Now, Product of roots = c/a = k/2 .

=> k/2 = 1
=> k = 2 .

Therefore ,k = 2 .

Answer 2

HOPE IT HELPS .....☺