Question

solve the following quadratic equations by factorisation method : 2x²-x-6=0

Answer 1

$2 {x}^{2} - x - 6 = 0 \\ 2 {x}^{2} - 4x + 3x - 6 = 0 \\2 x(x - 2) + 3(x - 2) = 0 \\ (x - 2)(2x + 3) = 0$
thus x=2 &-3/2

Answer 2

$\huge\bf\pink{Hey There!!!}$



$2x {}^{2} - x - 6 = 0 \\ \\ = >2x {}^{2} + 3x - 4x - 6 = 0 \\ \\ = > x(2x + 3) - 2(2x + 3) = 0 \\ \\ = > (2x + 3)(x - 2) = 0 \\ \\ = > 2x + 3 = 0 \: \: or \: \: x - 2 = 0 \\ \\ = >2 x = - 3 \: \: or \: \: x = 2 \\ \\ = > x = - \frac{3}{2} \: \: or \: \: x = 2.$


Hope it helps! ! ! !