Check whether $2 x + x^{2} + 1 = 0$ a quadratic equations.

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Solution

Given that: $2 x + x^{2} + 1 = 0$
Arrange the terms in descending order of their powers. $\Rightarrow x^{2} + 2 x + 1 = 0$
It is in the standard form $a x^{2} + b x + c = 0$
$∴$ The given equation is a quadratic equation.

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