find the value with complete steps
Attachments:
Answers
Answered by
1
pqr = 1
now ,
1/( 1+ p + r-1) = 1/( 1+ p + 1/r)
= r/( r + pr + 1)
= r/( r + 1/q + 1) { from pqr = 1 , pr = 1/q
= rq/( rq + 1 + q)
=p-1/( p-1 + 1 + q) ----------(1)
similarly ,
1/( 1+ q + r-1) = r/( r + qr + 1 )
= r/( r+ 1/p + 1) { from pqr = 1 , qr = 1/p }
= r/( r+ p-1 + 1) ----------------(2)
now put equations (1) and (2) in above ,
p-1/( p-1 + q +1 ) + r/( r + p-1 +1) +1/( 1 + r + p-1)
= ( p-1 + r + 1)/( p-1 + r +1)
= 1 ( answer )
now ,
1/( 1+ p + r-1) = 1/( 1+ p + 1/r)
= r/( r + pr + 1)
= r/( r + 1/q + 1) { from pqr = 1 , pr = 1/q
= rq/( rq + 1 + q)
=p-1/( p-1 + 1 + q) ----------(1)
similarly ,
1/( 1+ q + r-1) = r/( r + qr + 1 )
= r/( r+ 1/p + 1) { from pqr = 1 , qr = 1/p }
= r/( r+ p-1 + 1) ----------------(2)
now put equations (1) and (2) in above ,
p-1/( p-1 + q +1 ) + r/( r + p-1 +1) +1/( 1 + r + p-1)
= ( p-1 + r + 1)/( p-1 + r +1)
= 1 ( answer )
Answered by
0
Answer:
pqr = 1
now ,
1/( 1+ p + r-1) = 1/( 1+ p + 1/r)
= r/( r + pr + 1)
= r/( r + 1/q + 1) { from pqr = 1 , pr = 1/q
= rq/( rq + 1 + q)
=p-1/( p-1 + 1 + q) ----------(1)
similarly ,
1/( 1+ q + r-1) = r/( r + qr + 1 )
= r/( r+ 1/p + 1) { from pqr = 1 , qr = 1/p }
= r/( r+ p-1 + 1) ----------------(2)
now put equations (1) and (2) in above ,
p-1/( p-1 + q +1 ) + r/( r + p-1 +1) +1/( 1 + r + p-1)
= ( p-1 + r + 1)/( p-1 + r +1)
= 1 ( answer )
Similar questions