Question

(x^2-×+1)/x^2+×+1=2/3 then find( x+1)/2​

Answer 1

Answer:

The answer to the question asked is:

( x + 1 ) / x = ( 7 ± √21 ) / 2

The answer to the question I think might have been meant is:

x + 1/x = 5

Step-by-step explanation:

( x² - x + 1 ) / ( x² + x + 1 ) = 2 / 3

=> 3 ( x² - x + 1 ) = 2 ( x² + x + 1 )

=> 3x² - 3x + 3 = 2x² + 2x + 2

=> x² + 1 = 5x

=> x + 1/x = 5

In case this is what you actually needed (I have a hunch).

Otherwise, let's continue...

x² - 5x + 1 = 0

=> (1/x)² - 5(1/x) + 1 = 0

=> 1/x = ( 5 ± √( 5² - 4 ) ) / 2

=> 1/x = ( 5 ± √21 ) / 2

=> ( x + 1 ) / x = 1 + 1/x = ( 7 ± √21 ) / 2