SOLUTION: 4x^2+12x+4y^2+16y-11=0

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Question 1167133: 4x^2+12x+4y^2+16y-11=0

Found 4 solutions by josgarithmetic, MathTherapy, ikleyn, Alan3354:
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want this in standard form? Identify the kind of graph?

4x%5E2%2B12x%2B4y%5E2%2B16y=11

4%28x%5E2%2B3x%2By%5E2%2B4y%29=11

4%28x%5E2%2B3x%2B%283%2F2%29%5E2%2By%5E2%2B4y%2B4%29=11%2B4%283%2F2%29%5E2%2B44

4%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2%29=55%2B4%283%2F2%29%5E2

4%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2%29=55%2B9

4%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2%29=64

highlight%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2=4%5E2%29
Circle centered at (-1.5,-2) and radius size 4.

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

4x^2+12x+4y^2+16y-11=0
First, no QUESTION. Don't you think a question need to be asked?

Second, if the other person's hunch about your question is correct, that equation he gave you is INCORRECT. 

In other words, there's something wrong with highlight%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2=4%5E2%29, and so, we have: cross%28highlight%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2=4%5E2%29%29

Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.

            I came to bring the correct solution. 


4x%5E2%2B12x%2B4y%5E2%2B16y=11


4%28x%5E2%2B3x%2By%5E2%2B4y%29=11


4%28x%5E2%2B3x%2B%283%2F2%29%5E2%2By%5E2%2B4y%2B4%29=11%2B4%283%2F2%29%5E2%2B16


4%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2%29=27%2B4%283%2F2%29%5E2


4%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2%29=27%2B9


4%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2%29=36


highlight%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2%29 = 9%29


Circle centered at  (-1.5,-2) and radius of 3  units.    ANSWER



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Is this a True or False question?
----------------
I'll go with "it's possible."