SOLUTION: What is the centre and radius of the circle with the equation 2x^2+2y-12x+4y-15=0

Algebra.Com
Question 730930: What is the centre and radius of the circle with the equation
2x^2+2y-12x+4y-15=0

Found 2 solutions by lwsshak3, MathLover1:
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
What is the centre and radius of the circle with the equation
2x^2+2y-12x+4y-15=0
***
Standard form of equation for a circle: (x-h)^2+(y-k)^2=r^2, (h,k)=(x,y) coordinates of center, r=radius
For given equation:
2x^2+2y-12x+4y-15=0
This is not an equation of a circle because the y^2 term is missing.
Looks like a typing error, one of the y-terms should probably be squared.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
......here you missing to have a circle
I guess should be , but it also might be
let's do it with
....write it in the standard form
The standard equation of a circle with center C(,) and radius is as follows:

..put all terms with and together and all terms with and together using brackets
......complete the square within each bracket



....both sides divide by




so,the center and radius of the circle are:
C(,)



RELATED QUESTIONS

Find the length of the radius of a circle whose equation is 2x^2+2y^2-12x+4y-15=0 (answered by Fombitz)
What is the centre and radius of the circle with the equation... (answered by lwsshak3)
Find the centre and radius of circle whose equation is given by... (answered by Alan3354)
Please help me solve this problems: 1.A circle whose centre lies on the line y=3x-1,... (answered by Alan3354)
find an equation of the circle passing through A(-3,1) with radius 2 and centre at... (answered by josgarithmetic)
what is the center and radius of the circle having the equation:... (answered by lynnlo)
A circle passes through the centre of a circle X^2 + Y^2 - 3X - 4Y - 1 = 0 and it's... (answered by KMST)
find the radius and centre of a circle with equation... (answered by Edwin McCravy)
4x^2-2y+8x+4y^2-7=0 find centre of circle radius and graph... (answered by Alan3354)