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