What is 4x^2+4y^2-24x+36y=-81 ?

The solution to 4x^2+4y^2-24x+36y=-81 is Circle with (a,b)=(3,-9/2),r=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^2+4y^2-24x+36y=-81

4 x^{2} + 4 y^{2} - 24 x + 36 y = - 81

(a, b) = (3, - \frac{9}{2}), r = 3

Solution steps

4 x^{2} + 4 y^{2} - 24 x + 36 y = - 81

Rewrite

4 x^{2} + 4 y^{2} - 24 x + 36 y = - 81

in the form of the standard circle equation

(x - 3)^{2} + (y - (- \frac{9}{2}))^{2} = 3^{2}

Therefore the circle properties are:

(a, b) = (3, - \frac{9}{2}), r = 3

4 x^{2} - 8 x + 4 y^{2} - 16 y - 124 = 0

x^{2} + y^{2} - 14 x + 12 y + 59 = 0

x^{2} + y^{2} + 10 x + 4 y - 56 = 0

x^{2} + y^{2} - 5 x = 44 - 2 y

(x^{2} + 4 x) + (y^{2} + 4 y) = 9

What is 4x^2+4y^2-24x+36y=-81 ?
The solution to 4x^2+4y^2-24x+36y=-81 is Circle with (a,b)=(3,-9/2),r=3