The equation below describes a circle. x2 + y2 + - 14x + 6y + 9 What are the equation, center and radius of the circle?

Respuesta :

Answer:

Center:  (7, -3)    radius = 7

Step-by-step explanation:

You have to complete the square using the x terms and then the y terms

[tex]x^{2} - 14x + 49[/tex] = [tex](x - 7)^{2}[/tex]

[tex]y^{2} + 6y + 9[/tex] = [tex](y + 3)^{2}[/tex]

Add 49 to both sides of the equation

[tex]x^{2} - 14x + 49[/tex] + [tex]y^{2} + 6y + 9[/tex] = 49

[tex](x - 7)^{2}[/tex] + [tex](y + 3)^{2}[/tex] = 49

Center:  (7, -3)    radius = 7