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Solving a Quadratic Equation by Completion of Squares Method

Using the Com...

Question

Using the Completing Square Method, find the roots of the following quadratic equations
$4 x^{2} + 4 \sqrt{3} x + 3 = 0$

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Solution

$4 x^{2} - 4 \sqrt{3} x + 3 = 0$

$\Rightarrow (2 x + \sqrt{3})^{2} = 0$

$\Rightarrow 2 x + \sqrt{3} = 0$

$\Rightarrow x = - \frac{\sqrt{3}}{2}$

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