if x = 2+√3, then find the value of x^2 +1/x^2
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Answered by
2
Given:-
x = 2+√3
To find :- x²+1/x²
(2+√3)²+ 1/ (2+√3)²
=2²+√3²+2×2×√3+ 1/ 2²+√3²+2×2×√3
=4+3+4√3+ 1/4+3+4√3
=7+4√3 + 1/7+4√3
=(7+4√3)²+1/7+4√3
=[7²+(4√3)²+2×7×4√3]+1/7+4√3
=[49+(16×3)+56√3]+1/7+4√3
=(49+48+56√3+1)/7+4√3
=98+56√3/7+4√3
Hope it helps you...❤️✌️
Answered by
0
Solution:-
Answer=14
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