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Quadratic Equations

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Question

Check whether the following is quadratic equation.
$x^{2} + 3 x + 1 = (x - 2)^{2}$

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Solution

Given,
$x^{2} + 3 x + 1 = (x - 2)^{2}$
or, $x^{2} + 3 x + 1 = x^{2} - 4 x + 4$
or, $7 x - 3 = 0$ .
This is a linear equation which not a quadratic equation.

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