λ^2-4λ+5=0 — step-by-step solution

Let's solve in

ℝ

λ^{2} - 4 λ + 5 = 0

Given the quadratic form

a x^{2} + b x + c

, let's compute the discriminant:

Δ = b^{2} - 4 a c

Δ = {(-4)}^{2} - 4 \cdot 1 \cdot 5

Δ = 16 - 4 \cdot 5

Δ = 16 - 20

Δ = -4

Since

Δ < 0

, the equation has no solution.

No solution in

ℝ

for:

λ

▶Solution:

λ \in \emptyset