Math, asked by AyushAmit, 11 months ago

If p+1/p=12 find the value of p-1/p.​

Answers

Answered by Brainy2222
10

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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