Question

(p/q)^5/8+(q/p)^5/8=4 then find (p/q)^5/2+(q/p)^5/2​

Answer 1

Answer:

194

Step-by-step explanation:

let p/q=a, then q/p=1/a

((a)^5/8) + ((1/a)^(5/8))=4

Squaring both sides

a^(5/4)+1/a^(5/4)+2(a*1/a)^5/4 = 16

a^(5/4)+ 1/a^(5/4) = 14

Squaring,

a^(5/2)+1/a^(5/2)+2= 196

a^(5/2)+1/a^(5/2) = 194