Question

p+1/p=12 find value of p-1/p​

Answer 1

Answer:

p+1=12p

11p=1

p=1/11

p -1/p

1/11 -1/ 1/11

1/11- 11

1-121/11

-120/11

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Answer 2

Answer:

$\boxed{\bf p-\frac{1}{p}=\pm 2\sqrt{35}}$

Step-by-step explanation:

$p+\frac{1}{p}=12 \\\\ \text{squaring on both sides}, \\ \\ (p+\frac{1}{p})^2=12^2\\\\p^2+(\frac{1}{p})^2+2(p)(\frac{1}{p})=144 \\\\ p^2+(\frac{1}{p})^2+2=144\\\\p^2+(\frac{1}{p})^2=144-2\\\\p^2+(\frac{1}{p})^2=142 \\\\\\ p-\frac{1}{p}=? \\\\ (p-\frac{1}{p})^2=p^2+(\frac{1}{p})^2-2(p)(\frac{1}{p}) \\\\ (p-\frac{1}{p})^2=142-2 \\\\(p-\frac{1}{p})^2=140\\\\p-\frac{1}{p} = \pm \sqrt{140} \\\\ p-\frac{1}{p}=\pm \sqrt{4\times35}\\\\p-\frac{1}{p}=\pm 2\sqrt{35}$