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Formula
$$x ^ { 2 } + 1 = 0$$
$\begin{array} {l} x = i \\ x = - i \end{array}$
Solve quadratic equations using the square root
$x ^ { 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } = 0$
 Move the constant to the right side and change the sign 
$x ^ { 2 } = \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } = \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
 Solve quadratic equations using the square root 
$\color{#FF6800}{ x } = \pm \sqrt{ \color{#FF6800}{ - } \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ x } = \pm \sqrt{ \color{#FF6800}{ - } \color{#FF6800}{ 1 } }$
 Solve a solution to $x$
$\color{#FF6800}{ x } = \pm \color{#FF6800}{ i }$
$\color{#FF6800}{ x } = \pm \color{#FF6800}{ i }$
 Separate the answer 
$\begin{array} {l} \color{#FF6800}{ x } = \color{#FF6800}{ i } \\ \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ i } \end{array}$
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