Question

find the roots of quadratic equation 6x^2 -x-2​

Answer 1

$6x ^{2} - x - 2 \\ through \: mid \: term \: split \\ 6x ^{2} - 4x + 3x - 2 \\ 2x(3x - 2) + 1(3x - 2) \\ (3x - 2)(2 x + 1) \\ \\ when \: \: 3x - 2 = 0 \\ then \: \: x = \frac{2}{3} \\ \\ when \: \: 2x + 1 = 0 \\ then \: x = \frac{ - 1}{2} \\ \\ so \: roots \: are \: \frac{2}{3} and \frac{ - 1}{2}$