princessfaithhhhh
princessfaithhhhh princessfaithhhhh
  • 25-04-2017
  • Mathematics
contestada

The general form of the equation of a circle is x2+y2−4x−8y−5=0. What are the coordinates of the center of the circle?

Respuesta :

zoesoberano zoesoberano
  • 26-04-2017
The center of the circle is (2,4)
Answer Link
KingBlack
KingBlack KingBlack
  • 02-04-2019

Answer:

(2,4)

x^2 + y^2 − 4x − 8y − 5 = 0      complete the square on x and y

 

( x^2 - 4x  + 4)  + ( y^2 - 8y + 16)  - 5 - 4 - 16  = 0   simplify

 

(x - 2)^2  +  ( y - 4)^2  -  25  = 0       add 25 to both sides

 

(x - 2)^2  +  ( y - 4)^2   =  25

 

The center  is  ( 2, 4)

Answer Link

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