x^2+2x+5=0 — step-by-step solution

Let's solve in

ℝ

x^{2} + 2 x + 5 = 0

Given the quadratic form

a x^{2} + b x + c

, you can calculate the discriminant:

Δ = b^{2} - 4 a c

Δ = 2^{2} - 4 \cdot 1 \cdot 5

Δ = 4 - 4 \cdot 5

Δ = 4 - 20

Δ = -16

Since

Δ < 0

, the equation has no solution.

No solution in

ℝ

for:

x

▶Solution:

x \in \emptyset