solve the equation by completing the square

3x^2-12x+1=0

2 answers

x^2-4x+1/3=0
x^2-4x = -1/3
x^2-4x+4=4-1/3
(x-2)^2=(sqrt (3 2/3))^2

x-2=+- sqrt (3 2/3)
or...

3x^2 -12x+ 36 = 35
(x-6)^2 = 35
x-6 = square root of 35
x= 6+ or 6- the square root of 35