Question

the determine whether x is equal to minus 1 upon 2 and x is equal to 1 upon 3 are the solution of the equation 6x square minus x minus 2 is equal to zero

Answer 1

$- \frac{1}{2 }$

Answer 2

Given equation is,

                      $6x^{2} -x-2=0$

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

                     $2x(3x-2)+1(3x-2)=0$

                    $3x-2=0$  &  $2x+1=0$

                     $x=\frac{2}{3}$     &   $x=\frac{-1}{2}$