If p+1/p=12 find the value of p-1/p.
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Answer:
Step-by-step explanation:
p+1/p=12
(p+1/p)^2=(12)^2 (Squaring both sides)
(p)^2+2(p)(1/p)+(1/p)^2=144
(p)^2+2+1/p^2=144
p^2+1/p^2=144-2
p^2+1/p^2=142
(p-1/p)=p^2-2(p)(1/p)+(1/p)^2
(p-1/p)=p^2-2+1/p^2
(p-1/p)=p^2+1/p^2-2
(p-1/p)=142-2
(p-1/p)=140
Hope it helps!
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