Check whether the following is a quadratic equation.
$(x - 3) (2 x + 1) = x (x + 5)$

Yes

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Ambiguous

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Data insufficient

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Solution

The correct option is A Yes
Given, $(x - 3) (2 x + 1) = (x) (x + 5)$
$\Rightarrow 2 x^{2} + x - 6 x - 3 = x^{2} + 5 x$
$\Rightarrow x^{2} - 10 x - 3 = 0$
Using quadratic formula, we get
$x = \frac{10 \pm \sqrt{100 - 12}}{2}$
$= \frac{10 \pm 7 \sqrt{2}}{2}$

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