de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

(5x^2+y^2-15x+8y-11)/4 =0

Lösung

\frac{5 x ^{2} + y ^{2} - 15 x + 8 y - 11}{4} = 0

Lösung

(h, k) = (\frac{3}{2}, - 4), a = \frac{3 17}{2 5}, b = \frac{3 17}{2}

Schritte zur Lösung

\frac{5 x ^{2} + y ^{2} - 15 x + 8 y - 11}{4} = 0

Rewrite

\frac{5 x ^{2} + y ^{2} - 15 x + 8 y - 11}{4} = 0

in the form of the standard ellipse equation

\frac{( x - \frac{3}{2} ) ^{2}}{( \frac{3 17}{2 5} ) ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{( \frac{3 17}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{3}{2}, - 4), a = \frac{3 17}{2 5}, b = \frac{3 17}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (\frac{3}{2}, - 4), b = \frac{3 17}{2}, a = \frac{3 17}{2 5}

Graph

Beliebte Beispiele

(x^2+y^2+4x-8y-6)/(x^2+y^2+6x+2y+9)= 4/5

\frac{x ^{2} + y ^{2} + 4 x - 8 y - 6}{x ^{2} + y ^{2} + 6 x + 2 y + 9} = \frac{4}{5}

64-25x^2-4y^2+24y>= 0

64 - 25 x^{2} - 4 y^{2} + 24 y \geq 0

25(x+2)^2+4(y-3)^2=100

25 (x + 2)^{2} + 4 (y - 3)^{2} = 100

(x+5)^2+4(y-4)^2=16

(x + 5)^{2} + 4 (y - 4)^{2} = 16

(x^2-6x)+4(y^2+2y)=-9

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