The equation that has the solutions x=-3+sqrt(3)i/2 is:
x^2 + 3x + (3/2) = 0
To solve for x, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Plugging these values into the quadratic formula, we get:
x = (-3 ± √(3^2 - 4 * 1 * (3/2))) / 2 * 1
TO
x = (-3 ± √3) / 2
The equation that has the solutions x=-3+sqrt(3)i/2 is:
x^2 + 3x + (3/2) = 0