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Beliebt Geometry >

2x^2+y^2+4x-6y=7

Lösung

2 x^{2} + y^{2} + 4 x - 6 y = 7

Lösung

(h, k) = (- 1, 3), a = 3, b = 32

Schritte zur Lösung

2 x^{2} + y^{2} + 4 x - 6 y = 7

Rewrite

2 x^{2} + y^{2} + 4 x - 6 y = 7

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, 3), a = 3, b = 32

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 1, 3), b = 32, a = 3

Graph

Beliebte Beispiele

((x-8)^2)/(16)+((y+1)^2)/(81)=1

\frac{( x - 8 ) ^{2}}{16} + \frac{( y + 1 ) ^{2}}{81} = 1

36x^2+9y^2+48x-36y-72=0

36 x^{2} + 9 y^{2} + 48 x - 36 y - 72 = 0

((x-3)^2)/((18))+((y+1)^2)/(12)=1

\frac{( x - 3 ) ^{2}}{( 18 )} + \frac{( y + 1 ) ^{2}}{12} = 1

4x^2+8y^2-16*+32y+32=0

4 x^{2} + 8 y^{2} - 16 \cdot + 32 y + 32 = 0

y^{2} = \frac{4 - x ^{2}}{5}