Question

{p} + p = 4 \\ " alt=" \frac{1}{p} + p = 4 \\ " align="absmiddle" class="latex-formula">
so, now find the value of,
$\frac{1}{ {p}^{2} } + {p}^{2} =$
need the step by step explanation...will give the brainliest!​

Answer 1

Answer:

The answer is is 14.

Step-by-step explanation:

Firstly, you have to square on both side by using the formula, (a+b)² = a²+2ab+b² :

(1/p + p)² = 4²

1/p² + 2(1/p)(p) + p² = 16

1/p² + 2 + p²= 16

It is given to us to find the value of 1/p² + p² = ? . By doing so, we can eliminate 2 by substracting 2 on both side :

1/p² + 2 + p² - 2 = 16 - 2

1/p² + p = 14