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

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

Simplify the following expression.

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) 21x² + 10x + 1 = 0
 (ii) 24y²+ 26y + 5 = 0

If 9x² + y² = 37 and xy = 2, x, y>0, then the value of (27x³+ y³) is:

 if then find the value of