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Question
Solve the following quadratic equation:
\[i x^2 - 4 x - 4i = 0\]
Solution
\[ i x^2 - 4x - 4i = 0\]
\[ \Rightarrow i\left( x^2 + 4ix - 4 \right) = 0\]
\[ \Rightarrow \left( x^2 + 4ix - 4 \right) = 0\]
\[ \Rightarrow \left( x + 2i \right)^2 = 0\]
\[ \Rightarrow x + 2i = 0\]
\[ \Rightarrow x = - 2i\]
\[\text { So, the roots of the given quadratic equation are - 2i and } - 2i .\]
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