Posted by Lynn on Tuesday, December 13, 2011 at 11:11am.
Solve by completing the square:
x^26x+3=0
please take me step by step

Algebra  Steve, Tuesday, December 13, 2011 at 12:54pm
Remember that (ab)^2 = a^2  2ab + b^2
So, if you have x^2  6x you need half of the 6 to complete the square:
x^2  6x + 9  9 + 3 = 0
(x3)^2  6 = 0
(x3)^2 = 6
So, you can see that
x3 = ±√6
so,
x = 3 ± √6