Math, asked by siddiquearham560, 1 day ago

x²+x-² = 1 it's x square + x -2​

Answers

Answered by alamshahil819
0

Answer:

X = 2 + √3

1/x = 1/2 + √3

= 1 × (2-√3)/(2 + √3)(2-√3)

= (2-√3)/(2^2-√3^2)

= (2-√3)/4-3 =

= (2-√3)

Therefore,

x^2 = (2+√3)

= (2)^2 + (√3)^2 + 2 × 2 × √3 =

= 4 + 3+ 4√3

= 7+ 4√3

1/x^2 = (2-√3)^2

= (2)^2 + (√3)^2 - 2 × 2 × √3 =

= 4+3 - 4√3

= 7 - 4√3

x^2 + 1/x^2

= (7 + 4√3) + (7 - 4√3)

= 7+ 4√3+7-4√3

= 7+7+4√3 - 4√3

= 14

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