Question

if x = 2 + root 3 find the value of x squared plus one upon x square

Answer 1

x = 2+√3

1/x = 1/(2+√3)

By rationalization,

1/x = (2-√3)/[2²-(√3)²]

1/x = 2-√3/4-3

1/x = (2-√3)/1

1/x = 2-√3
____,,,,,


x² +1/x²

(2+√3)² +(2-√3)²

4+3+4√3 + 4+3-4√3

4+3+4+3

14


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-by ABHAY

Answer 2

x = 2+√3

1/x = 1/(2+√3)

By rationalization,

1/x = (2-√3)/[2²-(√3)²]

1/x = 2-√3/4-3

1/x = (2-√3)/1

1/x = 2-√3
____,,,,,


x² +1/x²

(2+√3)² +(2-√3)²

4+3+4√3 + 4+3-4√3

4+3+4+3

14



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