Question

find x
6x^2-11x-2=0
................................................../

Answer 1

6x² - 11x - 2 = 0

=> 6x² - 12 x + x - 2 = 0

=> 6x ( x - 2 ) + 1 ( x - 2 ) = 0

=> ( 6x + 1 ) ( x - 2 ) = 0

=> 6x + 1 = 0 ; x - 2 = 0

=> x = - 1 / 6 ; 2

Hence x has two values which are : ( - 1 / 6 ) and ( + 2 ).

Hope it helped !

Answer 2

6x ^ 2 - 11 x - 2 =0

6x ^ 2 - 12 x + x - 2 = 0

Splitted middle term ..

6x ( x - 2 ) + 1 ( x - 2 ) = 0

( 6x + 1 ) ( x - 2 ) = 0

X = - 1 / 6 or 2