de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

9x^2+5y^2+36x-30y+36=0

Lösung

9 x^{2} + 5 y^{2} + 36 x - 30 y + 36 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} + 5 y^{2} + 36 x - 30 y + 36 = 0

Rewrite

9 x^{2} + 5 y^{2} + 36 x - 30 y + 36 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

solvefor x,4x^2=20x-p(x)^2+4

so l v e f or x, 4 x^{2} = 20 x - p (x)^{2} + 4

3x^2+4y^2-12x+16y+16=0

3 x^{2} + 4 y^{2} - 12 x + 16 y + 16 = 0

4(x-2)^2+(y-3)^2=1

4 (x - 2)^{2} + (y - 3)^{2} = 1

x^2-4x+16y^2+32y+4=0

x^{2} - 4 x + 16 y^{2} + 32 y + 4 = 0

9 x^{2} + 12 y^{2} = 108