Decide whether $m^{2} + m + 2 = 4 m$ is a quadratic equation

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Solution

$m^{2} + m + 2 = 4 m$
$m^{2} + m - 4 m + 2 = 0$
$m^{2} - 3 m + 2 = 0$
$∴$ It is a quadratic equation it is in the form of $a x^{2} + b x + c = 0$
$∴$ The given equation is a quadratic equation.

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