SOLUTION: How do I graph the quadratic equation x^2+6x+6=0?

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Question 677461: How do I graph the quadratic equation x^2+6x+6=0?
Found 2 solutions by ReadingBoosters, josmiceli:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B3%29%5E2+=+3
...
sqrt%28x%2B3%29%5E2 = +/- sqrt%283%29
x+3 = +/- sqrt%283%29
x+=+-3+%2B-+sqrt%283%29
...
x intercepts at
(-3%2Bsqrt%283%29, 0) AND (-3-sqrt%283%29, 0)
...
y intercept at x =0
(0, 6)
...
Vertex at (-3,-3)
...
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B6x%2B6%29
.....................
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
actually, you can't graph +x%5E2+%2B+6x+%2B+6+=+0+
It is an equation, but it doesn't relate 2 variables.
What you really mean is +y+=+x%5E2+%2B+6x+%2B+6+
Here's the plot:
+graph%28+400%2C+400%2C+-8%2C+8%2C+-8%2C+8%2C+x%5E2+%2B+6x+%2B+6+%29+
Now if you want to find the roots,
+x%5E2+%2B+6x+%2B+6+=+0+ is what you
+x%5E2+%2B+6x+%2B+%286%2F2%29%5E2+=+-6+%2B+%286%2F2%29%5E2+
+x%5E2+%2B+6x+%2B+9+=+-6+%2B+9+
+%28+x+%2B+3+%29%5E2+=+%28+sqrt%283%29+%29%5E2+
+x+%2B+3+=+sqrt%283%29+
+x+=+-3+%2B+sqrt%283%29+
and
+x+=+-3+-+sqrt%283%29+
------------------
In decimals:
+x+=+-3+%2B+1.732+
+x+=+-1.268+
and
+x+=+-3+-+1.732+
+x+=+-4.732+
These values match up OK with the x-intercepts ( roots )