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`

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 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 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 and y are positive real numbers and xy=8 , then the minimum value of 2x+y is

If x and y are real numbers and (x-5)^(2)+(x-y)^(2)=0 , then find the value of x and y.

If x-2y = 4, then the minimum value of xy is

Let x_(0), y_(0) be fixed real numbers such that x_(0)^(2)+y_(0)^(2)gt1 . If x, y are arbitrary real numbers such that x^(2)+y^(2)le1 , then the minimum value of (x-x_(0))^(2)+(y-y_(0))^(2) is

If x-2y=4 the minimum value of xy is