If x = 3-2√2 ,then find the value of x2 – 1/x2

Hello there!

x^2 - (1/x^2)

x = 3 - 2√2 -- (1)

1/x = 1/( 3-2√2 )

= ( 3 + 2√2 ) / (3 - 2√2 )(3+2√2 )

= ( 3 + 2√2 ) / 3² - ( 2√2 )²

3^2 = 9 and 2√2 ² = 8

= ( 3 + 2√2 ) / ( 9 - 8 )

= ( 3 + 2√2) -- (2)

x - 1/x = 3 - 2√2 - ( 3 + 2√2 )

= 6

= 3 - 2√2 - 3 - 2√2

= - 4√2

x² - 1/x² = ( x + 1/x ) ( x - 1/x )

= 6 × ( - 4√2 )

6 x ( -4√2 ) = -24√2

the answer is d. 75%

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )