What is x^2+9y^2-14x+36y+49=0 ?

The solution to x^2+9y^2-14x+36y+49=0 is Ellipse with (h,k)=(7,-2),a=6,b=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2+9y^2-14x+36y+49=0

x^{2} + 9 y^{2} - 14 x + 36 y + 49 = 0

(h, k) = (7, - 2), a = 6, b = 2

Solution steps

x^{2} + 9 y^{2} - 14 x + 36 y + 49 = 0

Rewrite

x^{2} + 9 y^{2} - 14 x + 36 y + 49 = 0

in the form of the standard ellipse equation

\frac{( x - 7 ) ^{2}}{6 ^{2}} + \frac{( y - ( - 2 ) ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (7, - 2), a = 6, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (7, - 2), a = 6, b = 2

13 x^{2} - 10 x + 2 + y^{2} = 4 x - 1

8 x^{2} + 9 y^{2} = 72

- 3 y^{(2)} - 2 x^{(2)} = 2

60 x^{2} + 108 y^{2} = 6480

22 x^{2} + 66 y^{2} + 60 x + 4 y + 9 = 0

What is x^2+9y^2-14x+36y+49=0 ?
The solution to x^2+9y^2-14x+36y+49=0 is Ellipse with (h,k)=(7,-2),a=6,b=2