de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

4x^2+y^2+16x-6y-39=0

Lösung

4 x^{2} + y^{2} + 16 x - 6 y - 39 = 0

Lösung

(h, k) = (- 2, 3), a = 4, b = 8

Schritte zur Lösung

4 x^{2} + y^{2} + 16 x - 6 y - 39 = 0

Rewrite

4 x^{2} + y^{2} + 16 x - 6 y - 39 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{4 ^{2}} + \frac{( y - 3 ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 3), a = 4, b = 8

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 3), b = 8, a = 4

Graph

Beliebte Beispiele

((x-2)^2)/(20)+(y^2)/(36)=1

\frac{( x - 2 ) ^{2}}{20} + \frac{y ^{2}}{36} = 1

6x^2+9y^2-18y-45=0

6 x^{2} + 9 y^{2} - 18 y - 45 = 0

4x^2+25y^2-50y=75

4 x^{2} + 25 y^{2} - 50 y = 75

5 x^{2} + 9 y^{2} = 45

9 x^{2} + y^{2} = 81