Question

if x=2+√5,find the value of 1)x²+1/x² and x²-1/x²​

Answer 1

This is your answer....

Answer 2

Answer:

$1) \: \frac{10}{9}$

$2) \: \frac{8}{9}$

Step-by-step explanation:

Given = x=2+√5

To find = 1) x²+1/x²

2) x²-1/x²

Putting the values of x in equations, we get

$1) \frac{ \: {(2+√5)}^{2} + 1}{ {(2+√5)}^{2}}$

$\frac{4 + 5 + 1}{4 + 5} = \frac{10}{9}$

$2) \: \frac{ {(2+√5) }^{2} - 1}{ {(2+√5)}^{2} }$

$\frac{4 + 5 - 1}{4 + 5} = \frac{8}{9}$