Question

Solve 6x2 = 12x − 24.

A) the quantity of negative 2 plus or minus 3i square root 2 all over 2
B) 1 plus or minus i square root 3
C) the quantity of 2 plus or minus 3i square root 2 all over 2
D) 1 plus or minus 2i square root 10

Answer 1

b

Explanation:

B) 1 plus or minus i square root 3

Answer 2

Answer: Option B (
`x=1`±
`i√(3)`)

Explanation:

1. To solve this problem you must use the Quadratic formula, which is used to solve quadratic equation. This formula is shown below:

`x=\frac{-b+/-\sqrt{b^(2)-4ac}}{2a}`

2. Make the equation equal to zero. So, you must rewrite it as following:

`6x^(2)-12x+24=0`

3. Now, you must substitute values. Then, you have:

`a=6\\b=-12\\c=24`

`x=\frac{-(-12)+/-\sqrt{(-12)^(2)-4(6)(24)}}{2(6)}`

4. Then,you obtain the following result:

`x=1`±
`i√(3)`