Question

Solve the following quadratic equation:

\[i x^2 - 4 x - 4i = 0\]

Answer 1

\[ i x^2 - 4x - 4i = 0\]

\[ \Rightarrow i\left( x^2 + 4ix - 4 \right) = 0\]

\[ \Rightarrow \left( x^2 + 4ix - 4 \right) = 0\]

\[ \Rightarrow \left( x + 2i \right)^2 = 0\]

\[ \Rightarrow x + 2i = 0\]

\[ \Rightarrow x = - 2i\]

\[\text { So, the roots of the given quadratic equation are - 2i and } - 2i .\]