Question

if x²1/x²= 6329. Find x 1/x ​

Answer 1

Answer:

hello users ....

solution:-

we know that :-

x² + y² = ( x+y)² - 2xy

Here,

X^4+1/x^4=(x²)² + 1/ (x²)²

=  (x² + 1/x²)² - 2* x² * 1/x²

=> 6239 = (x² + 1/x²)² - 2  

=> 6239 + 2 = (x² + 1/x²)²  

=> (x² + 1/x²)²  = 6241 = 79²

=> (x² + 1/x²) = 79  

Now, Again..

(x² + 1/x²) = (x + 1/x )² - 2*x * 1/x

=> 79 = (x + 1/x )² - 2

=> 79 + 2 = (x + 1/x )²  

=> (x + 1/x )²  = 81 = 9²

=> (x + 1/x ) = 9 Answer  

## hope it helps :)