If m be the number of integral solutions of equation `2x^2 - 3xy – 9y^2 -11=0` and n be the roots of `x^3-[x]-3=0`, then m

The number of positive integral solutions of the equation 7x^(2)-2xy+3y^(2)=27 is

Find the root of equation 2x^2+3 x + 11=0.

Let m be the number of real solutions of the equation e^(x)=x^(2) and n be the number of positive roots of theequation x^(3)+2x-4=0

Find the number of solutions for the pair of equations x + 3y + 5 =0 and - 3x - 9y + 2 =0.

The number of integral pairs (x, y) satisfying the equation 2x^(2)-3xy-2y^(2)=7 is :

If x,y are integral solutions of 2x^(2)-3xy-2y^(2)=7, then value of |x+y|

Find the integral part of the greatest root of equation x^3-10 x^2-11 x-100=0.

Auxiliary equation of 2x^(2)+3xy-9y^(2)=0 is