Find the centre of the circle 4x^2+4y^2+16x- 24y-52=0​

Centre at .

Step-by-step explanation:

Use the general formula for a circle to answer this question. The general formula is :

, where is the centre of the circle and is the radius of the circle.

We have to get the equation we've been given into the general form. We can do this by completing the square as follows:

-Group like terms together.

- Divide by common factor of 4.

- Complete the square and move constant to the other sides.

Now that it's in the general form we can find the centre. Centre at .