Question

4x2+4/3 2+3=0


solve the question by completing the square method

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Answer 1

Answer:

$4 {x}^{2} + 2 \sqrt{3} x + 2 \sqrt{3} x + 3 = 0\\ 2x(2x + \sqrt{3} ) + \sqrt{3} (2x + \sqrt{3} ) = 0 \\ (2x + \sqrt{3} )(2x + \sqrt{3} ) = 0 \\ 2x + \sqrt{3} = 0 \: \: \: \: 2x = - \sqrt{3} \: \: \: x = \frac{ - \sqrt{3} }{2} \\ similarly \: x = \frac{ - \sqrt{3} }{2}$