if x+y =3 and $${1\over x}+{1\over y}= -{3\over 10}$$ then the value of (x²+y²) is :

The expression   $${15(\sqrt { 10}+\sqrt { 5})\over \sqrt { 10}+\sqrt { 20}+\sqrt { 40}-\sqrt { 5}-\sqrt { 80}     }$$ is equal to:

 if $$x^4+{16\over x^4}=15617, x>0$$ then find the value of $$x+{2\over x}$$

If x = 2 - 2^1/3 + 2^2/3, then the value of x³– 6x² + 18x + 18 is

If x+y+z=10, x²+y²+z²=30, then the value of x³+y³+z³-3xyz 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) 2x³ = $$ \sqrt {256}$$
 (ii) 2y² – 9y + 10 = 0

Simplify the following expression.

$${\left({375+125} \right)^2-\left({125-375} \right)^2}\over 375×375-125×125$$

If x + y + 3 = 0 , then find the value of x³+y³-9xy+9.