Question

what is the value of x and y if x/y+x^2/y^2+x^3/y^3=14

Answer 1

let x/y = a
therefore a + a^2 + a^3 = 14
by analysis we get
a = 2
therefore x=2y ; x,y $\neq$ 0
and hence we get infinitely many values of x, y ∈ (-∞, ∞) - {0}