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Beliebt Geometry >

9x^2+y^2-54x-8y+88=0

Lösung

9 x^{2} + y^{2} - 54 x - 8 y + 88 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} + y^{2} - 54 x - 8 y + 88 = 0

Rewrite

9 x^{2} + y^{2} - 54 x - 8 y + 88 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

2 x^{2} + 4 y^{2} = 12

36x^2+25y^2=3600

36 x^{2} + 25 y^{2} = 3600

2(x+4)^2+(y+2)^2=8

2 (x + 4)^{2} + (y + 2)^{2} = 8

(x^2)/2+(y^2)/(16)=1

\frac{x ^{2}}{2} + \frac{y ^{2}}{16} = 1

- x^{2} - 2 y^{2} = - 40