+37153 to complete the square, the leading coefficient has to be '1'
3x^2 - 5x + 1 = 0 leading coefficient is '3' divide the whole equation by 3
x^2 - 5/3 + 1/3 = 0 now leading coefficient is 1
now take 1/2 of the MIDDLE coefficient (-5/3 one half is -5/6) then square it and add it to BOTH sides of the equation: x^2 - 5/3 + 1/3 + 25/36 = 25/36 now you can do this:
(x- 5/6)^2 + 1/3 = 25/36 ( note how the green 25/36 is 'built in' to the (x-5/6)^2 component)
now subtract 1/3 from both sides to clean it up a bit
(x-5/6)^2 = 25/36 - 12/36
(x-5/6)^2 = 13/36 done. You try the second one.......
