Question

if p q are the roots of the equation X2+k+1=0then 1/P+1/Q=​

Answer 1

The given equation is

X2+k+1=0

and p,q are the roots of the equation

Therefore, p2+k+1=0    ...........(1)

 Also,  q2+k+1=0          ............(2)

Now, sum of roots i.e    p+q= -k

          product of roots  i.e pq = 1

1/p+1/q = p+q/(pq)

Therefore, 1/p+1/q = -k/1 = -k

So the answer is -k.