What is x? 0=3x² - 4x + 12

Question

asked May 11, 2022 53.7k views

1 Answer

Soorapadman · Answer 1 · 2022-05-17T06:37:36+0000

Answer:

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