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Beliebt Geometry >

((x^2))/9+((y^2))/(16)=1

Lösung

\frac{( x ^{2} )}{9} + \frac{( y ^{2} )}{16} = 1

Lösung

(h, k) = (0, 0), a = 3, b = 4

Schritte zur Lösung

\frac{x ^{2}}{9} + \frac{y ^{2}}{16} = 1

Rewrite

\frac{x ^{2}}{9} + \frac{y ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 4, a = 3

Graph

Beliebte Beispiele

((x^2)/(64))+((y^2)/(25))=1

(\frac{x ^{2}}{64}) + (\frac{y ^{2}}{25}) = 1

9x^2+16y^2-72x+32y+16=0

9 x^{2} + 16 y^{2} - 72 x + 32 y + 16 = 0

x^2+4y^2+4x-8y=8

x^{2} + 4 y^{2} + 4 x - 8 y = 8

4 x^{2} + 18 y^{2} = 72

((x+1)^2)/(25)+((y+2)^2)/(49)=1

\frac{( x + 1 ) ^{2}}{25} + \frac{( y + 2 ) ^{2}}{49} = 1