X {} ^(2) + 49 = 0 Hello, I need help :/​

Question

`x {} ^(2) + 49 = 0`
Hello, I need help :/​

Answer 1

If we are in the real numbers, we don't have solutions:

`x^2 +49 = 0 \implies x^2 = -49 \implies x \\ot\in\mathbb{R}`

If we go beyond:

`x^2 +49 = 0 \implies x^2 = -49 \implies x = \pm√(-7^2) \implies x = \pm7i`