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Beliebt Geometry >

4y^2+9x^2=36

Lösung

4 y^{2} + 9 x^{2} = 36

Lösung

(h, k) = (0, 0), a = 2, b = 3

Schritte zur Lösung

4 y^{2} + 9 x^{2} = 36

Rewrite

4 y^{2} + 9 x^{2} = 36

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, 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 = 2

Graph

Beliebte Beispiele

2x^2+3y^2+12x=10

2 x^{2} + 3 y^{2} + 12 x = 10

((x+3)^2)/(49)+((y-5)^2)/(16)=1

\frac{( x + 3 ) ^{2}}{49} + \frac{( y - 5 ) ^{2}}{16} = 1

18x^2-72x+4y^2+4y+37=0

18 x^{2} - 72 x + 4 y^{2} + 4 y + 37 = 0

6(x+1)^2+2(y-1)^2=72

6 (x + 1)^{2} + 2 (y - 1)^{2} = 72

((x-5/2)^2)/9+(y^2)/(49)=1

\frac{( x - \frac{5}{2} ) ^{2}}{9} + \frac{y ^{2}}{49} = 1