Question

ifp+1/p=4 then p2+1/p2 slow this question​

Answer 1

Answer:

${p}^{2} + \frac{1}{ {p}^{2} } = 14$

Step-by-step explanation:

Since, it is given that

$p + \frac{1}{p} = 4$

Squaring both sides, we get :

${(p + \frac{1}{p} )}^{2} = {(4)}^{2}$

Or,

${p}^{2} + 2.p. \frac{1}{p} + \frac{1}{ {p}^{2} } = 16$

Or,

${p}^{2} + \frac{1}{ {p}^{2} } + 2 = 16$

Or,

${p}^{2} + \frac{1}{ {p}^{2} } = 16 - 2$

Or,

${p}^{2} + \frac{1}{ {p}^{2} } = \: 14$