Find all real numbers x, y, z such that 1/xy = (x/z) + 1, 1/yz = (y/x) + 1, 1/zx = (z/y) + 1
Follow Math Help Forum on Facebook and Google+
Originally Posted by fardeen_gen Find all real numbers x, y, z such that 1/xy = (x/z) + 1, 1/yz = (y/x) + 1, 1/zx = (z/y) + 1 you are just solving 3 equations in 3 unknowns.. you can do it..
From the symmetry of the equations, try x = y = z, which gives .
View Tag Cloud