Step-by-step explanation:
Let u = x2 + 1 and rewrite the given equation in terms of u as follows
u 2 + 2u - 3 = 0
Factor and solve the above equation
(u + 3)(u - 1) = 0
two solutions: u = x2 + 1 = - 3 and u = x2 + 1 = 1
Equation x2 + 1 = - 3 has no real solutions. Solve the equation x2 + 1 = 1 for to get
x = 0.
The given equation has one real solution.
