Question

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

Answer 1

-2, 1/6

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