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Question
x2 + 1 = 0
Solution
Given:
\[x^2 + 1 = 0\]
\[x^2 + 1 = 0\]
\[ \Rightarrow x^2 - 1 i^2 = 0\]
\[ \Rightarrow (x + i) (x - i) = 0 [ ( a^2 - b^2 ) = (a + b) (a - b)]\]
\[\Rightarrow (x + i) = 0\] or \[(x - i) = 0\]
\[\Rightarrow x = - i\] or \[x = i\]
Hence, the roots of the equation are \[i \text { and }- i\].
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