Check whether $m = 2$ is a root of the quadratic equation:
$m^{2} + 4 m + 3 = 0$

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Solution

Equation is $m^{2} + 4 m + 3 = 0$
Substituting $m = 2$ in the given equation, we get
${(2)}^{2} + 4 \times 2 + 3 = 4 + 8 + 3$
$= 15$
$\neq 0$
Hence, $m = 2$ is not a root of quadratic equation

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