SOLUTION: 3z^2-8z+1=0 complete the square

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Question 414056: 3z^2-8z+1=0
complete the square

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3z%5E2+-+8z+%2B+1+=+0
3z%5E2+-+8z+=+-1

z%5E2+-+%288%2F3%29%2Az+%2B+16%2F9+=+-3%2F9+%2B+16%2F9
%28z+-+4%2F3%29%5E2+=+13%2F9
z+-+4%2F3+=+sqrt%2813%29+%2F+3
z+=+%284+%2B+sqrt%2813%29%29%2F3
and
z+=+%284+-+sqrt%2813%29%29%2F3
I checked this answer on paper,
and it looked OK