If \( 2+i \sqrt{3} \) is a root of the equation \( x^{2}+p x+q=0 \), where \( p \) and \( q \) a...
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If \( 2+i \sqrt{3} \) is a root of the equation \( x^{2}+p x+q=0 \), where \( p \) and \( q \) are real, then find the values of \( p \) and \( q \).
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