de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

achse 81x^2-1296x+16y^2+64y=-3952

Lösung

achse

81 x^{2} - 1296 x + 16 y^{2} + 64 y = - 3952

Lösung

semi - major axis b = 9, semi - minor axis a = 4

Schritte zur Lösung

81 x^{2} - 1296 x + 16 y^{2} + 64 y = - 3952

Rewrite

81 x^{2} - 1296 x + 16 y^{2} + 64 y = - 3952

in the form of the standard ellipse equation

\frac{( x - 8 ) ^{2}}{4 ^{2}} + \frac{( y - ( - 2 ) ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (8, - 2), a = 4, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (8, - 2), b = 9, a = 4

Graph

Beliebte Beispiele

achse 4x^2+9y^2+32x-18y+37=0

a x i s 4 x^{2} + 9 y^{2} + 32 x - 18 y + 37 = 0

achse ((x+5)^2)/(25)+((y-5)^2)/(16)=1

a x i s \frac{( x + 5 ) ^{2}}{25} + \frac{( y - 5 ) ^{2}}{16} = 1

achse 9x^2+36y^2+36x+432y=-1008

a x i s 9 x^{2} + 36 y^{2} + 36 x + 432 y = - 1008

achse 6x^2+8y^2+12x-32y=178

a x i s 6 x^{2} + 8 y^{2} + 12 x - 32 y = 178

achse 3x^2+12x+4y^2-40y+100=0

a x i s 3 x^{2} + 12 x + 4 y^{2} - 40 y + 100 = 0