Question

If one zero of 2x 2-3x+k is reciprocal to the other then the value of k is

Answer 1

Answer:

Given. 2x2-3x+k...... eq.. 1

Let the two zeroes are a and a/1

Quadratic equation : ax2 +bx +c ... eq... 2

On comparing eq 1 and 2

We get b=-3, c=k

Product of zeroes =a multiple by 1/a

Product of zeroes c/a

1=k/2

K=2

Therefore value of k=2