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=100

Lösung

5 x^{2} + 9 y^{2} = 100

Lösung

(h, k) = (0, 0), a = 25, b = \frac{10}{3}

Schritte zur Lösung

5 x^{2} + 9 y^{2} = 100

Rewrite

5 x^{2} + 9 y^{2} = 100

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 2 5 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{10}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 25, b = \frac{10}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 25, b = \frac{10}{3}

Graph

Beliebte Beispiele

((x^2))/((4))+(((y-1)^2))/((9))<1

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

((x+6)^2)/7+((y-3)^2)/(16)=1

\frac{( x + 6 ) ^{2}}{7} + \frac{( y - 3 ) ^{2}}{16} = 1

4x^2+y^2+64x-y+201=0

4 x^{2} + y^{2} + 64 x - y + 201 = 0

5x^2+25y^2-125=0

5 x^{2} + 25 y^{2} - 125 = 0

- 6 y = x^{2} + y^{2}