Answer:
x = -1/2 + (i/2)√11 and x = -1/2 - (i/2)√11
Step-by-step explanation:
This polynomial is a quadratic. Its coefficients are a = 1, b = 1 and c = 3.
Thus, the discriminant b^2-4ac is 1^2 - 4(1)(3), or 1 - 12, or -11.
Because the discriminant is negative, the roots are complex.
The roots are:
-1 ±√(-11) -1 ±i√11
x = --------------- = ----------------, so x = -1/2 + (i/2)√11 and x = -1/2 - (i/2)√11
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