If x²+4y²=17 and xy=2, where x>0,y>0, then what is the value of x³+8y³?

If 4x² + y² = 40 and xy = 6, then find the value of 2x + y.

If x+y+z=10, x²+y²+z²=30, then the value of x³+y³+z³-3xyz is _________.

if x+y =3 and then the value of (x²+y²) is :

Simplify the following expression.

 If 3x²-5x+1=0, then the value of ( ) is 

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient=double the remainder. If the remainder is 80 then the value of x 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) 12x² + 11x + 2 = 0
(ii) 12y²+ 7y + 1 = 0