If $$ {t^{2}-4t+1=0}$$ then what is the value of $${t^{3}+{1\over {t^{3}}}}$$ ?

If $$ {3x+}{2\over {\sqrt{x}}}=1$$ then $$ {x-{\sqrt{x}}}=?$$

If $$ {x+{1\over {x}}=1}$$, then find the value of $$ {x^{208}+{x^{205}+x^{204}+x^{201}}}$$.

Solve the following equation.

If a=34, b=c=33, then the value of a3+b3+c3-3abc is 

if a³b = abc = 180, a, b, c are positive integers, then the value of c is 

If   $$ {{x+1}\over4x}={5\over 2}$$ then what is the value of   $$ 64x^6+1\over 8x^3  $$

If x+y+z=22 and xy+yz+zx=35, then what  is the value of (x-y)² +(y-z)²+(z-x)²?