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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (1, 3), a = 10, b = 25

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( 10 ) ^{2}} + \frac{( y - 3 ) ^{2}}{( 2 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 3), a = 10, b = 25

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 3), b = 25, a = 10

Graph

Beliebte Beispiele

9x^2+y^2+90x-4y+193=0

9 x^{2} + y^{2} + 90 x - 4 y + 193 = 0

x^2+5y^2+2x-30y+36=0

x^{2} + 5 y^{2} + 2 x - 30 y + 36 = 0

(x^2)/(64)+(y^2)/(39)=1

\frac{x ^{2}}{64} + \frac{y ^{2}}{39} = 1

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

\frac{x ^{2}}{4} + \frac{y ^{2}}{2} = 1

x^{2} = 2 y - y^{2}