Question

find roots for
${4x}^{2} + 4 \sqrt{3x} + 3 = 0$

Answer 1

Hey friend , Harish here.

Here is your answer:

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

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

→$2x(2x+ \sqrt{3}) + \sqrt{3}(2x+ \sqrt{3})$

→$(2x+ \sqrt{3})(2x+ \sqrt{3})$

Therefore the roots of  the equation is -√3/2 .
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Hope my answer is helpful to you.