Question

completing the square
x^2 - 3x +2 =0

Answer 1

x^2-2*(3/2)x+(3/2)^2=(3/2)^2-2
(x-3/2)^2=9/4-2
(X-3/2)^2=1/4
x-3/2=+-1/2
x=2,1

Answer 2

\[\large{(x-\frac{3}{2})^2-(\frac{3}{2})^2+2=0}\]\[\large{(x-\frac{3}{2})^2-\frac{9}{4}+\frac{8}{4}}=0\]\[\large{(x-\frac{3}{2})^2=\frac{1}{4}}\]\[\large{x-\frac{3}{2}= \pm \frac{1}{2}}\]\[x=\frac{1}{2}+\frac{3}{2}=2\]\[x=\frac{-1}{2}+\frac{3}{2} = 1\]