(p/q) ^5/8+ (q/p) ^5/8=4 then find value of (p/q) ^5/2 +(q/p) ^5/2
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Answer:
Given, p=x2−4x+8
∴p(5)=25−20+8=13
Also given, q(x)=x−3
∴q(5)=2
Now p(q(5))=p(2)=22−4⋅2+8=4
And, q(p(5))=q(13)=13−3=10.
Therefore q(p(5))−p(q(5))=10−4=6
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Answer:
194
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