Question

if x=3+2^1/2 then value of x^2+1/x^2

Answer 1

is your question this:
if x = 3 +2^(1/2) then what is the value of (x^2 + 1)/x^2?

Answer 2

x = 3 +2^(1/2) then what is the value of x^2 + (1/x^2)?

Answer 3

Solve for the first equation (plug in your calc), and then substitute values for the second equation.

Answer 4

i solved.... need confirmation

Answer 5

holiday homework:P

Answer 6

I have 19.71182229

Answer 7

i got 15

Answer 8

just substitute and evaluate

\[\frac{(3 + \sqrt{2})^2 + 1}{(3 + \sqrt{2})^2}\]

Answer 9

(x+(1/x))^2=x^2+2+(1/x^2)
(x+(1/x))^2-2=x^2+(1/x^2)

Answer 10

i got 86.239

Answer 11

wow u guys r really mathmeticians ...every1 is getting different answer

Answer 12

I got 1.05132

Answer 13

it is 15

Answer 14

15? how

Answer 15

but it depends of the equation is it

\[x^2 + \frac{1}{x^2}\]

or

\[\frac{x^2 + 1}{x^2}\]

Answer 16

Isn't x=3+2^1/2 = 4.414213562?

Answer 17

it is root 2

Answer 18

i get 19.53660216

Answer 19

dont take it as 1/2

Answer 20

and \[x = 3 +\sqrt{2}\]

Answer 21

Just substitute that value for every x.
(3 + sqrt(2)^2) + 1/(3+sqrt(2)^2)

Answer 22

then answer is 19.537

Answer 23

@campbell_st I took the equation as x^2+(1/x^2)

Answer 24

@gaurav555 Can you rewrite both the equations with the BRACKETS where necessary!
Everyone is seeing different equations !!!

Answer 25

x=3+2√2 then value of x²+1/x²

Answer 26

1. If it is SOLVE, then :

x=3+2√2
x= 5.828427

Therefore, substituting x = 5.828427 :

x²+1/x²
(5.828427² + 1)/(5.828427²)

Ans = 1.02943




2. If it is SIMPLIFY, then :

= [ (3 + 2√2)² + 1 ] / [ (3 + 2√2)² ]
= 1 + [ 1 / (3 + 2√2)² ]
= 1 + [ 1 / (9 + 12√2 + 8) ]
= 1 + [ 1 / (17 + 12√2) ]

Rationalize :
= 1 + [ 1 / (17 + 12√2) ]

You get :
= 1 + (17 - 12√2)
= 18 - 12√2

Ans = 18 - 12√2