If x is real then the value of expression `((x+m)^2-4m n)/(2(x-n))` is never

5m -n = 3m+4n then find the value of the expressions: (m^2+n^2)/(m^2-n^2)

For real values of x, the value of expression (11x^2-12x-6)/(x^2+4x+2)

For real values of x, the value of expression (11x^(2)-12x-6)/(x^(2)+4x+2)

IF x is real and 0ltmlt1 , show that the expression (x^2+2x+m)/(x^2+4x+3m) is capable of assuming all real values.

Let x, y be positive real numbers and m, n be positive integers, The maximum value of the expression (x^(m)y^(n))/((1+x^(2m))(1+y^(2n))) is

Let x, y be positive real numbers and m, n be positive integers, The maximum value of the expression (x^(m)y^(n))/((1+x^(2m))(1+y^(2n))) is

Let x, y be positive real numbers and m, n be positive integers, The maximum value of the expression (x^(m)y^(n))/((1+x^(2m))(1+y^(2n))) is

Let x, y be positive real numbers and m, n be positive integers, The maximum value of the expression (x^(m)y^(n))/((1+x^(2m))(1+y^(2n))) is

IF x is real, find the real values of m which make the expressions mx-x^2-1 always negative.