Question

Factorise 2x^2 + 3root3x + 3

Answer 1

Answer:

-3 is the answer

Answer 2

Step-by-step explanation:

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