x=2-√3, the value of x2-1/x2 =
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Step-by-step explanation:
x = 2 - √3
1/x = 1/2 - √3 = 1/2 - √3 *( 2 + √3 / 2 + √3) = 2 + √3 / 4 - 3 = 2 + √3
x² - 1/x² = (2 - √3)² - (2 + √3) ²
= 4 + 3 - 4√3 - 4 -3 - 4√3
= - 8√3
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