Question

( x=2+sqrt{3} quad x^{3}+frac{1}{x^{3}} quad frac{bmod A Y}{operatorname{DAY}(16.1) %} mid 8 )
( a^{3}+b^{3}=(a+b)left(a^{2}-a b+b^{2}right) )
( x^{3}+frac{1}{x^{3}}=left(x^{3}+frac{1}{x}right)left(x^{2}-x cdot frac{1}{x}+frac{1}{x^{2}}right) )
( =frac{x^{2}+1}{x}left(x^{2}-1+frac{1}{x^{2}}right) )
( left.=frac{x^{2}+1}{x} ln frac{x^{4}-x^{2}+1}{x^{2}}right) )
bulestituting value of ( x ), russoar 19 ( frac{(2+sqrt{3})^{2}+1}{(2+sqrt{3})}:left(frac{(2+sqrt{3})^{4}-(2+sqrt{3})^{2}+1}{(2+sqrt{3})^{2}}right) )

# 17. If x = 2 + 73, find the value of x +-

Solution