Answer:
3/2 + 1/2 √6 or 3/2 + -1/2 √6
Step-by-step explanation:
Subtract 3 from both sides.
4x2−12x+3−3=0−3
4x2−12x=−3
Since the coefficient of 4x^2 is 4, divide both sides by 4.
4x2−12x/4 = −3/4 x2−3x= −3/4
The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides
x2−3x + 9/4 = −3/4 + 9/4
x2−3x + 9/4 = 3/2
Factor left side.
(x−3/2)2 = 3/2
Take square root.
x−3/2 = ± √3/2
Add 3/2 to both sides.
x−3/2 + 3/2 = 3/2 ± √3/2
x = 3/2 ± √3/2
