Mil.navy.01 completing the square

[karush]

$\tiny{mil.navy.01}$
This is on an sample entrance exam test for the Navy Academy

Use "completing the square" to rewrite
$x^2-4x+3=0$ in the form $\quad (x-c)^2=d$
a, $(x-1)^2=1$
b. $(x-2)^2=1$
c. $(x-3)^2=1$
d. $(x-2)^2=2$
e. $(x-4)^2=1$

ok I am not sure why they suggest the second transformation

 

[romsek]

\(\displaystyle x^2-4x+3 = 0\\
(x-2)^2 -4 + 3 = 0\\
(x-2)^2 = 1\)

I don't think the problem is suggesting anything.
Those are multiple choice answers only one of which is correct.

 

[karush]

$x^2-4x+3=0$
isolate
$x^2-4x=-3$
add 4 to both sides
$x^2-4x+4=-3+4$
simplify
$(x-2)^2=1$