If `x=2` and `y=4` then `(x/y)^(x-y) + (y/x)^(y-x) `=?

Solve for x and y : 2^(y-x) (x + y) = 1 and (x + y)^(x - y) = 2 .

Consider the following equation in x and y: (x-2y-1)^2 + (4x+3y-4)^2 + (x-2y-1)(4x+3y-4) =0 How many solutions to (x, y) with x, y real, does the equation have

Factorize: 4(x-y)^2-12(x-y)(x+y)+9(x+y)^2

The factors of x^3-x^2y-x y^2+y^3 are (a (x+y)(x^2-x y+y^2) (b) (x+y)(x^2+x y+y^2) (c) (x+y)^2(x-y) (d) (x-y)^2(x+y)

If (x)/(x-y)=log((a)/(x-y)) then (dy)/(dx) is (a) (x)/(y), (b) 2-(x)/(y), (c) 2, (d) (x-y)/(x)

If x, y satisfy the equation, y^(x)=x^(y) and x=2y , then x^(2)+y^(2)=

Let f (x,y)= x^(2) - y^(2) and g (x,y)=2xy. such that (f ( x,y))^(2) -(g (x,y))^(2)=1/2 and f (x,y) . G(x,y) =(sqrt3)/(4) Find the number of ordered pairs (x,y) ?

If x^(2)y=2x-y then y^(2)+(y^(4))/(2)+(y^(6))/(3)+…oo=

Find the compounded ratio of: (x+y): (x-y), (x^(2) + y^(2)): (x+y)^(2) and (x^(2)-y^(2))^(2): (x^(4)-y^(4))

If (3x -4y) : (2x -3y) = (5x -6y) : (4x -5y) , find : x : y .