Question

If x = Root 3 - 1 , find the value of x square + 1 upon x square

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

x = √3 - 1

x² = 3 - 2√3 +1 = 4  - 2√3

then ,

1 / x² = 1 / 4  - 2√3

= 4  + 2√3 / 4² - ( 2√3 )²

= 2 ( 2 + √3 ) / 16 - 12

= 2 ( 2 + √3 ) / 4

=  ( 2 + √3 ) / 2

therefore ,

x² + 1 / x²

= 4  - 2√3 + ( 2 + √3 ) / 2

= 8 - 4√3 + 2 + √3 / 2

= 10  - 3√3 / 2