Question

find root of quadratic equation 2xsquare +x-6 =0 by factorization method​

Answer 1

$2 {x}^{2} + x - 6 = 0$

$2 {x}^{2} + 4x - 3x - 6 = 0$

$2x(x + 2) - 3(x + 2) = 0$

$(x + 2)(2x - 3) = 0$

$x + 2 = 0$

$x = - 2$

$2x - 3 = 0$

$2x = 3$

$x = \frac{3}{2}$

Therefore roots of the quadratic equation are -

$x = - 2 \: and \: \frac{3}{2}$