x^2+8x+65=0 — step-by-step solution

Let's solve in

ℝ

x^{2} + 8 x + 65 = 0

Given the quadratic form

a x^{2} + b x + c

, let's compute the discriminant:

Δ = b^{2} - 4 a c

Δ = 8^{2} - 4 \cdot 1 \cdot 65

Δ = 64 - 4 \cdot 65

Δ = 64 - 260

Δ = -196

Δ < 0

, the equation has no solution.

Could not solve in

ℝ

for:

x

▶Solution:

x \in \emptyset