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Beliebt Geometry >

-8y^2+72=9x^2

Lösung

- 8 y^{2} + 72 = 9 x^{2}

Lösung

(h, k) = (0, 0), a = 22, b = 3

Schritte zur Lösung

- 8 y^{2} + 72 = 9 x^{2}

Rewrite

- 8 y^{2} + 72 = 9 x^{2}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 22, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 3, a = 22

Graph

Beliebte Beispiele

((x+3)^2)/(36)+((y-4)^2)/(16)=1

\frac{( x + 3 ) ^{2}}{36} + \frac{( y - 4 ) ^{2}}{16} = 1

10-(x^2)/2-y^2=x^2+4y^2

10 - \frac{x ^{2}}{2} - y^{2} = x^{2} + 4 y^{2}

((x+5)^2)/4+((y+5)^2)/(25)=1

\frac{( x + 5 ) ^{2}}{4} + \frac{( y + 5 ) ^{2}}{25} = 1

2x^2+y^2-8y-2x+1=0

2 x^{2} + y^{2} - 8 y - 2 x + 1 = 0

8 x^{2} + 12 y^{2} = 96