Question

Find the root of equation 6x^2 - root2x -2 = 0 by the factorisation

Answer 1

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

$x = \frac{ \sqrt{2} }{2}$