SOLUTION: What are the coordinates of centre of the circle given by the equation x square -4x +y square +4y=0 it looks something like this x 2 -4x+y 2 + 4y = 0? I just can't get the

Question 1092459: What are the coordinates of centre of the circle given by the equation x square -4x +y square +4y=0
it looks something like this
x
2 -4x+y
2 + 4y = 0?
I just can't get the square in top of the x and y
thank you :0
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
.

 = 0        Use completing the squares for each group of x- and y-terms separately

 +  = ,

 +  = 16.


It is the standard equation of the circle of the radius  = 4, centered at (2,-2).

See the lessons in this site
    - Standard equation of a circle
    - General equation of a circle
    - Transform general equation of a circle to the standard form by completing the squares
    - Identify elements of a circle given by its general equation

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".

RELATED QUESTIONS
What are the coordinates of centre of the circle given by the equation x 2 −2x+y... (answered by ikleyn)

What are the coordinates of the centre of... (answered by scott8148)

how do you find the square root. the equation looks something like this:3+(the square... (answered by College Student)

The straight line 3x-4y-3=0 cuts the circle x^2+y^2-4x-2y+4=0. Find (i)the coordinates of (answered by Alan3354,ikleyn)

Find the center and radius of the circle given by the equation... (answered by stanbon)

Find the radius of the circle given by the equation x^2 +y^2... (answered by MathLover1)

Points A(2, 1) and B (4, -5) like on a circle. If line 2x-y-13=0 is a tangent to the... (answered by josgarithmetic,MathTherapy)

A circle passes through the centre of a circle X^2 + Y^2 - 3X - 4Y - 1 = 0 and it's... (answered by KMST)

Given the Cartesian equation of a circle in the form x2 + y2 + 4x + 6y = 12 find by... (answered by Fombitz)