Six times the square of a number x plus 11 times the number equals 2. What are possible values of x?

-2, 1/6

Step-by-step explanation:

6x²+11x=2

6x²+11x-2=0

Delta=11²-4*6 * (-2) = 121+48=169

x1,2 = (-11 + - sqrt (169)) / (2*6) =

(-11 + - 13) / 12

x1 = (-11+13) / 12=2/12=1/6

x2 = (-11-13) / 12=-24/12=-2