Question

What is x?

0=3x² - 4x + 12​

Answer 1

x=0.66+1.88i

x=0.66-1.88i

Explanation:

Given

3
`x^(2)`-4x+12=0

using the Quadratic Formula where

a = 3, b = -4, and c = 12

`x=-b`±
`\sqrt{b^(2)-4ac } /2a\\`

x=-(-4)±
`\sqrt{(-4)^(2)-4(3)(12) } /2(3)`

x=4±
`√(16-144) /6`

x=-4±
`√(128) /6`

`b^(2) -4ac<0\\`

x=-4±
`8√(2) i`/6

`x=(2)/(3)`±
`(4√(2)i )/(3)`

Which becomes,

x=0.66+1.88i

x=0.66-1.88i

The value of x will be x=0.66+1.88i

x=0.66-1.88i