If (x + 6y) = 8, and xy = 2, where x > O, what is the value of (x³+216y³)?

What is the value of a²+b²+c²-2ab-2bc+2ca?

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

If $$ {a={1+x\over 2-x}}$$, then find the value $$ {1\over {a+1}}+{2a+1\over{a^{2}-1}}$$ ?

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 a = 2·361, b = 3·263 and c = 5·624, then the value of a³ + b³ – c³ + 3abc is

if 2x + 3y = 17 and 2x+2 – 3y+1 = 5, then :

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) 3x² + 11x + 10 = 0
 (ii) 2y² + 11y + 14 = 0