Question

Solve the equation using square roots. X^2+16=0

Answer 1

`\displaystyle 4i = x`

Explanation:

`\displaystyle x^2 + 16 = 0 → √(-16) = √(x^2) \\ \\ 4i = x`

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Answer 2

The answer is :

x₁ = 4

x₂ = -4

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