Solve for x:
6 x^2+13 x+11 = 0
Divide both sides by 6:
x^2+(13 x)/6+11/6 = 0
Subtract 11/6 from both sides:
x^2+(13 x)/6 = -11/6
Add 169/144 to both sides:
x^2+(13 x)/6+169/144 = -95/144
Write the left hand side as a square:
(x+13/12)^2 = -95/144
Take the square root of both sides:
x+13/12 = (i sqrt(95))/12 or x+13/12 = 1/12 (-i) sqrt(95)
Subtract 13/12 from both sides:
x = (i sqrt(95))/12-13/12 or x+13/12 = 1/12 (-i) sqrt(95)
Subtract 13/12 from both sides:
Answer: | x = (i sqrt(95))/12-13/12 or x = 1/12 (-i) sqrt(95)-13/12
