If a+ 1/a = -2 then the value of

a¹⁰⁰⁰+a^-1000 is

If a³ = 117 + b³ and a = 3+b, then the value of a+b is:

The value of x which satisfies the equation

x+a²+2c²/b+c + x+b²+2a²/c+a + x+c+2b²/a+b = 0 is

If a² + b² + c² = 16, x² + y² + z² = 25 and ax + by + cz = 20,

then the value of a+b+c/x+y+z

If x⁴+2x³+ax²+bx+9 is a perfect square, where a and b are positive real numbers, then the value of a and b are

If (x-1/x)² = 3, then the value of x⁶ + 1/x⁶ equals