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Beliebt Geometry >

x^2+9y^2-2x-72y+136=0

Lösung

x^{2} + 9 y^{2} - 2 x - 72 y + 136 = 0

Lösung

(h, k) = (1, 4), a = 3, b = 1

Schritte zur Lösung

x^{2} + 9 y^{2} - 2 x - 72 y + 136 = 0

Rewrite

x^{2} + 9 y^{2} - 2 x - 72 y + 136 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 4), a = 3, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 4), a = 3, b = 1

Graph

Beliebte Beispiele

(x^2)/(100)+(y^2)/(25)=16

\frac{x ^{2}}{100} + \frac{y ^{2}}{25} = 16

(((x+1)^2))/((9))+(((y-2)^2))/((4))=1

\frac{( ( x + 1 ) ^{2} )}{( 9 )} + \frac{( ( y - 2 ) ^{2} )}{( 4 )} = 1

25xx+9yy-18y-216=0

25 xx + 9 yy - 18 y - 216 = 0

2 x^{2} + 5 y^{2} = 14

((x-5)^2)/(16)+((y-2)^2)/(36)=1

\frac{( x - 5 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{36} = 1