Question

If p, q are the roots of the equations x&2-5x+4=0 find the value of 1/p+1/q-2pq

Answer 1

Answer:

Step-by-step explanation:

sum of roots=-b/a=5/1=5=p+q

product of the roots=4=pq

now 1/p+1/q-2pq=(p+q)/pq-2pq=5/4-8=5-32/4=-27/4

Answer 2

Step-by-step explanation:

The equation is

x^2-5x+4=0.

Here, a=1,b=-5,c=4

p and q are the roots...(given)

sum of roots

p+q=-b/a=5...(1)

product of roots

p×q=c/a=4...(2)

1/p+1/q-2pq=p+q/pq -2pq

=5/4-2(4)..(from(1) and (2) )

=5/4-8

=(5-32)/4

= -27/4