Question

Which equation has the solutions?

Answer 1

Answer:

Option c is correct.

Step-by-step explanation:

We have been given the solution of the equation:

$x=\frac{-3\pm\sqrt{3i}}{2}$

We will use the formula for finding the solutions of quadratic equation.

$D=b^2-4ac$

Then $x=\frac{-b\pm\sqrt{D}}{2a}$

Equation $x^2+3x+3=0$

a=1,b=3 and c=3

$D=3^3-4(1)(3)$

$D=9-12=-3$

Now,$x=\frac{-3\pm\sqrt{-3}}{2}$

And $\sqrt{-1}=i$

So, $x=\frac{-3\pm\sqrt{3i}}{2}$

Therefore Option c is correct.