Math, asked by Hitman38, 1 year ago

If x=(2+root3) find the value of (x square+1/ x square)

Answers

Answered by Declspec
1

Answer:

(8 + 4√3)/(7 + 4√3)

Step-by-step explanation:

Given: x = 2 + √3

To Find: x² + 1/x²

Solution:

x = 2 + √3   (Given)

x² = (2 +√3)²

x² = 4 + 4√3 + 3

x² = 7 + 4√3

(x² + 1)/x²

7 + 4√3 + 1/7 + 4√3

⇒ (8 + 4√3)/(7 + 4√3)

Answered by subin50
2

x^2+1/x^2

=(2+root3)^2 + 1/(2+root3)^2

=4+4root3+3 + 1/4+4root3+3

=7+4root3 + 1/7+4root3

=7+4root3 +7-4root3

=7+7

=14

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