If a, b are rational number and (a-1)√2+3=b√2+a, the value of (a+b) is : 

If 15x² – 26x + 8 = (Ax + B) (Cx + D), where A and C are positive integers, then what is the value of (2A + B – C – 2D) ?

If x = z = 225 and y = 226 then the value of : x³ + y³ + z³ – 3xyz is

If a + b = 1 and a³ + b³ + 3ab = k, then the value of k 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

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

If x² + x = 5 then the value of   $${(x+3)^3}+{1\over (x+3)^3}$$ is

If (m + 1) = √n + 3, the value of   $${1\over 2}\left({m^3-6m^2+12m-8\over \sqrt { n}}-n \right)  \ $$ is