$$x+{1\over x}=2$$ and x is real, then the value of $$x^{17}+{1\over x^{19}}$$ is

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 6x² – 11x + 4 = 0
 (ii) 3y² – 5y + 2 = 0

If a + b + c = 6, a² + b² + c² = 14 and a³ + b³ + c³ = 36, then the value of abc is

If $${{p^2\over q^2}+{q^2\over p^2}}=1$$, then the value of (p⁶ + q⁶ ) is

If m = – 4, n = – 2, then the value of m³ – 3m² + 3m + 3n + 3n² + n³ is

If p, q, r are all real numbers, then (p – q)³ + (q – r)³ + (r – p)³ is equal to 

If (10 a³+4b³):(11a³-15b³)=7:5, then (3a+5b):(9a-2b)=?

if 2x² – 7x + 5 =0, then what is the value of $$x^2+{25\over 4x^2}$$