Question

If x=3-2 under root 2,find x^2-1/x^2

Answer 1

x = 3 - 2√2

x² = (9 + 8 - 12√2)

x² = (17 - 12√2)-----------( 1 )

1/x² = 1/(17 - 12√2) * (17 + 12√2)/(17 + 12√2)

1/x² = (17 + 12√2)/(289 - 288)

1/x² = (17 + 12√2)-----------( 2 )

subtracting-------( 2 ) from-------( 1 )

x² - 1/x² = (17 - 12√2) - (17 + 12√2)

x² - 1/x² = (17 - 17 - 12√2 - 12√2)

(x² - 1/x²) = (-24√2)

Answer 2

$\bf{hey}$
$\bf \underline{here \: is \: the \: answer}$
this refers to the pic

$\underline{ \: hope \: it \: helps}$
$\boxed{thanks}$
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