Question 584870: Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x^2 + y^2 -8x -6y +5 = 0
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x^2 + y^2 -8x -6y +5 = 0
Complete the square
(x^2-8x+16)+(y^2-6y+9)=-5+16+9
(x-4)^2+(y-3)^2=20
This is an equation of a circle of the standard form: (x-h)^2+(y-k)^2=r^2, (h,k) being the (x,y) coordinates of the center, r=radius
|
|
|