Question

P+(1/p)=8 find the value of p

Answer 1

p+ (1/p) = 8
by taking L.C.M

p^2 + 1 /p =8

p^2 +1 = 8p
1= 8p-p^2
1= p ( 8 - p)

or,
p=0 or p= -8

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Answer 2

p+1/p=8
p^2+1/p=8
p^2+1=8p
p^2-8p+1=0