de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

9x^2+4y^2+72x-8y-176=0

Lösung

9 x^{2} + 4 y^{2} + 72 x - 8 y - 176 = 0

Lösung

(h, k) = (- 4, 1), a = 6, b = 9

Schritte zur Lösung

9 x^{2} + 4 y^{2} + 72 x - 8 y - 176 = 0

Rewrite

9 x^{2} + 4 y^{2} + 72 x - 8 y - 176 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 4 ) ) ^{2}}{6 ^{2}} + \frac{( y - 1 ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 4, 1), a = 6, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 4, 1), b = 9, a = 6

Graph

Beliebte Beispiele

4x^2+y^2+16x+16y-64=0

4 x^{2} + y^{2} + 16 x + 16 y - 64 = 0

5x^2+9y^2-10x-36y=4

5 x^{2} + 9 y^{2} - 10 x - 36 y = 4

(x^2+8x)+(3y^2+8y)=11

(x^{2} + 8 x) + (3 y^{2} + 8 y) = 11

(x^2}{25/4}+\frac{y^2)/4 =1

\frac{x ^{2}}{\frac{25}{4}} + \frac{y ^{2}}{4} = 1

9x^2+4y^2-90x+189=0

9 x^{2} + 4 y^{2} - 90 x + 189 = 0