x/x+5 + x+5/x-5 = 50/x^2-25

Question

x/x+5 + x+5/x-5 = 50/x^2-25

Answer 1

x/x+5 + x+5/x-5 = 50/x^2-25

x/(x+5) + x+5/x-5 = 50/(x-5)(x+5)

общий знаменатель: (x-5)(x+5)

2х²+5x-25=0

x₁=2.5

x₂=-5