Answer:
x = -1/4 + sqrt(47)/4 i , -1/4 - sqrt(47)/4 i
Step-by-step explanation:
2x^2+x+6=0
using the quadratic formula
-b ±sqrt(b^2 -4ac)
--------------------------
2a
-1 ±sqrt(1 -4(2)(6))
--------------------------
2(2)
-1 ±sqrt( 1 - 48)
------------------
4
-1 ± sqrt(-47)
-------------
4
-1 ± sqrt(-1) sqrt(47)
-------------------------
4
remember sqrt(-1) = i
-1 ± i sqrt(47)
----------------
4
x = -1/4 + sqrt(47)/4 i , -1/4 - sqrt(47)/4 i
