Respuesta :

Answer:

The answer is :

x₁ = 4

x₂ = -4

Step-by-step explanation:

Let's solve the equation using square roots.

X^2+16=0

x² + 16 = 0

x² = -16 (Adding 16 at both sides of the equation)

√x² = i√16 (Square root to both sides of the equation)

x = +/- 4i (Roots of the solution)

x₁ = 4i

x₂ = -4i

Answer:

[tex]\displaystyle 4i = x[/tex]

Step-by-step explanation:

[tex]\displaystyle x^2 + 16 = 0 → \sqrt{-16} = \sqrt{x^2} \\ \\ 4i = x[/tex]

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