Question

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

Answer 1

hey mate here is your answer ✌♥✌

p+(1/p)=8

(p²+1)/p=8

p²+1=8p

p²-8p+1=0

by quadratic formula

D=b²-4ac

=64-4

=60

p=-b+_√(D)/2a

=8+_√60/2

=8+-2√15/2

=4+-√15

so p=4+√15 or p=4-√15

hope it will help you

mark me brainliest ✌✌✌

Answer 2

Hey mate here is your answer,

$p + \frac{1}{p} = 8 \\ \\ \frac{ {p}^{2} + 1} {p} = 8 \\ \\ \frac{ {p}^{2} + 1}{p} = \frac{63 + 1}{8} \\ \\ \\ comparing \: on \: both \: sides \\ \\ p = 8.$
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