de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (1, 2), a = 3, b = 5

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{3 ^{2}} + \frac{( y - 2 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 2), a = 3, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 2), a = 3, b = 5

Graph

Beliebte Beispiele

(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

x^2+30x+12y^2=0

x^{2} + 30 x + 12 y^{2} = 0

9 x^{2} + 14 y^{2} = 126