Question

if x=2+ √3, find the value of x²+1/2x

Answer 1

Heya ✋

Let see your answer !!!!

Given that

x = 2 + √3

x^2 + 1/x^2 = ?

Solution

1/x = 1/2 + √3

= 1 × (2 - √3) / (2 + √3) × (2 - √3)^2

= 2 - √3 / (2)^2 - (√3)^2

= 2 - √3 / 4 - 3

= 2 - √3

Therefore ,

x^2 + 1/x^2

= (2 + √3)^2 + (2 - √3)^2

= [(2)^2 + (√3)^2 + 2 × 2 × √3] + [(2)^2 + (√3)^2 - 2 × 2 × √3]

= [4 + 3 + 4√3] + [4 + 3 - 4√3]

= 7 + 4√3 + 7 - 4√3

= 14





Thanks :)))))

Answer 2

Answer:

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