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Beliebt Geometry >

9x^2+8y^2-54x-16y+17=0

Lösung

9 x^{2} + 8 y^{2} - 54 x - 16 y + 17 = 0

Lösung

(h, k) = (3, 1), a = 22, b = 3

Schritte zur Lösung

9 x^{2} + 8 y^{2} - 54 x - 16 y + 17 = 0

Rewrite

9 x^{2} + 8 y^{2} - 54 x - 16 y + 17 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, 1), a = 22, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, 1), b = 3, a = 22

Graph

Beliebte Beispiele

81 x^{2} + 9 y^{2} = 9

(x^2)/2+(y^2)/5 =1

\frac{x ^{2}}{2} + \frac{y ^{2}}{5} = 1

x^2+2y^2-2x-4y-8=0

x^{2} + 2 y^{2} - 2 x - 4 y - 8 = 0

7 x^{2} + 25 y^{2} = 175

x^2+5y^2=9(2.1)

x^{2} + 5 y^{2} = 9 (2.1)