Question

Solve −3x2 − 4x − 4 = 0.

A) x equals quantity of 2 plus or minus 4i square root of 2 all over 3
B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3
C) x equals quantity of negative 2 plus or minus 2i square root of 2 all over 3
D) x equals quantity of negative 2 plus or minus 4i square root of 2 all over 3

Answer 1

The correct answer is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.

Explanation:

We are given the following quadratic equation:

`-3x^2-4x-4 = 0`

Since, it cannot be factorized so we will use the quadratic formula:

x =
`(-b+-√(b^2-4ac) )/(2a)`

Substituting in the values of a, b and c in the above formula to get:

x =
`(-(-4)+-√((-4)^2)-4(-3)(-4) )/(2(-3))`

x =
`-(2)/(3) +i (2√(2) )/(3)`, x =
`-(2)/(3) -i (2√(2) )/(3)`

Therefore, the correct answer option is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.