Number of integrai values of x for which there exists `y in R` such that `2y^2 + xy+x^2=4` is

The sum of real values of y satisfying the equations x^2 +x^2y^2 + x^2y^4 = 525 and x + xy + xy^2 = 35 is :

The minimum value of 3x^(2)+2xy+y^(2)=2x=6y+13 where x,y in R, is

The number x is 2 more than the number y. If the sum of the squares of x and y is 34, find the product of x and y. Given : x -y = 2 and x^2 + y^2 = 34 To find the value of xy.

For real numbers x and y, let M be the maximum value of expression x^4y + x^3y + x^2 y + x y + xy^2 + xy^3 + xy^4 , subject to x + y = 3 . Find [M] where [.] = G.I.F.

The number of ordered pairs (x,y) where x in R,y in R, satisying equations x^(3)+y^(3)=7 and x^(2)+y^(2)+x+y+xy=4 is equal to

The number of distinct pairs (x,y) of the real number satisfying x=x^(3)+y^(4) and y=2xy is

x,y in R with (x>y) such that x^2 y^2 + x^2 +y^2 + 2xy = 40 and xy + x+y=8 Find x.

The sum of x^4 – xy + 2y^2 and -x^4 + xy + 2y^2 is

The number of distinct pairs (x,y) of the real number satisfying x=x^(3)+y^(4)and y=2xy is :