Question 371733
solve by completing the square
xsquare-3x+1=0
-1 -1
xsquare-3x=-1
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Good so far
{{{x^2 - 3x = -1}}}
b/2 = -3/2
(-3/2)^2 = 9/4
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{{{x^2 - 3x + 9/4 = 9/4 - 1 = 5/4}}}
{{{(x - 3/2)^2 = 5/4}}}
{{{x - 3/2 = sqrt(5)/2}}}
{{{x = 3/2 + sqrt(5)/2}}}
{{{x = 3/2 - sqrt(5)/2}}}