Question

solve 2 X square + 5 root 3 X + 6 is equal to zero​

Answer 1

Step-by-step explanation:

$2 {x}^{2} + 5 \sqrt{3} x + 6 = 0 \\ 2 {x}^{2} + 4 \sqrt{3} x + \sqrt{3} x + 6 = 0 \\ 2x(x + 2 \sqrt{3} ) + \sqrt{3} (x + 2 \sqrt{3} ) = 0 \\ (2x + \sqrt{3} )(x + 2 \sqrt{3} ) = 0 \\ 2x + \sqrt{3} = 0 \: \: \: \: x + \sqrt{3} = 0 \\ 2x = - \sqrt{3} \: \: \: \: \: x = - \sqrt{3} \\ x = - \frac{ \sqrt{3} }{2} \: \: \: \: \: \: \: x = - \sqrt{3}$

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