If z + (1/z) = 2 then find z¹⁰⁵ + 1/(z¹⁰⁵) = ?

If x² – 5x + 1 = 0, then find the value of {x² + (1/x²)}.

If a = 55, then what is the value of

ABCD is a cyclic quadrilateral in which AB =16.5 cm. BC = x cm. CD= 11 cm. AD 19.8 cm, and BD is bisected by AC at O. What is the value of x?

If  x = 19 , find x ⁵ - 20  x ⁴ + 20  x ³ - 20x ² + 20x  - 20 = ?

if a² + b² + c² = 2(4a -5b -6c)-77 , then a-b-c = ?

If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then what is the value of a³ + b³ + c³ ?

Fing the value of:

[(1024)^(n/5) × (4)⁽²ⁿ⁺¹⁾ ] / [(16)ⁿ × (4)^(n-1) ]

If a³ — b³ = 602 and a— b = 2, then find the value of( a² + b²)