Let `x and y` be two real variable such that `x >0 and x y=1` . Find the minimum value of `x+y` .

Let y=x^2+ x , the minimum value of y is

If x and y are real number such that x^2 +2xy-y^2=6 , find the minimum value of (x^2+y^2)^2

Let x ,\ y be two variables and x >0,\ \ x y=1 , then minimum value of x+y is (a) 1 (b) 2 (c) 2 1/2 (d) 3 1/3

If x + y=4 and x >=0, y>= 0 find the maximum value of x^3y .

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

Given that x ,y ,z are positive real such that x y z=32. If the minimum value of x^2+4x y+4y^2+2z^2 is equal m , then the value of m//16 is.

If x,y,z are positive real number, such that x+y+z=1 , if the minimum value of (1+1/x)(1+1/y)(1+1/z) is K^(2) , then |K| is ……….

If x and y are real numbers such that 16^(x^(2)+y)+16^(x+y^2)=1 , then find the values of x and y.

If x,y in R^(+) such that x + y = 8, then find the minimum value of (1 + (1)/(x)) (1 + (1)/(y))

If (x+y, x-y) = (3, 1), find the values of x and y.