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

Answer:

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

Step-by-step 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 = $\frac{-b+-\sqrt{b^2-4ac} }{2a}$

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

x = $\frac{-(-4)+-\sqrt{(-4)^2}-4(-3)(-4) }{2(-3)}$

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

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