Question

Which equation has the solutions?

a) 2x2 + 6x + 9 = 0
b) x2 + 3x + 12 = 0
c) x2 + 3x + 3 = 0
d) 2x2 + 6x + 3 = 0

Answer 1

Option c is correct.

Explanation:

We have been given the solution of the equation:

`x=(-3\pm√(3i))/(2)`

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

`D=b^2-4ac`

Then
`x=(-b\pm√(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=(-3\pm√(-3))/(2)`

And
`√(-1)=i`

So,
`x=(-3\pm√(3i))/(2)`

Therefore Option c is correct.