Question

Find the roots of equation 4x2+4root3 x+3=0 by factorisation method

Answer 1

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