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Beliebt Geometry >

3x^2+4y^2-6x-9=0

Lösung

3 x^{2} + 4 y^{2} - 6 x - 9 = 0

Lösung

(h, k) = (1, 0), a = 2, b = 3

Schritte zur Lösung

3 x^{2} + 4 y^{2} - 6 x - 9 = 0

Rewrite

3 x^{2} + 4 y^{2} - 6 x - 9 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 0), a = 2, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 0), a = 2, b = 3

Graph

Beliebte Beispiele

((x+2)^2)/9+((y-7)^2)/(64)=1

\frac{( x + 2 ) ^{2}}{9} + \frac{( y - 7 ) ^{2}}{64} = 1

4x^2+3y^2-12y=0

4 x^{2} + 3 y^{2} - 12 y = 0

9x^2+4y^2-36x=0

9 x^{2} + 4 y^{2} - 36 x = 0

-4x^2-y^2+16>= 0

- 4 x^{2} - y^{2} + 16 \geq 0

y^{2} = - 4 x^{2} + 16