Question

if p-1/p=9 , find p^2+1/p^2​

Answer 1

Hello, hope this helps:

SOL:

We know that:

$\frac{p-1}{p} = 9$

therefore,

$p = \frac{-1}{8}$

Now, we need to find

$\frac{p^{2}+1 }{p^{2}}$ ------ EQUATION 1

Substituting $p = \frac{-1}{8}$ in Equation 1

$\frac{(-1/8)^{2}+ 1 }{(-1/8)^{2} }$

By simplifying, we get

$\frac{p^{2}+1 }{p^{2}}$ = 65