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Beliebt Geometry >

9x^2+4y^2-54x-16y+61=0

Lösung

9 x^{2} + 4 y^{2} - 54 x - 16 y + 61 = 0

Lösung

(h, k) = (3, 2), a = 2, b = 3

Schritte zur Lösung

9 x^{2} + 4 y^{2} - 54 x - 16 y + 61 = 0

Rewrite

9 x^{2} + 4 y^{2} - 54 x - 16 y + 61 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, 2), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, 2), b = 3, a = 2

Graph

Beliebte Beispiele

(y^2}{16}+\frac{z^2)/9 =1

\frac{y ^{2}}{16} + \frac{z ^{2}}{9} = 1

(x-4)^2+2(y-3)^2=1

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

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

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

16x^2+4y^2+16x+49y-81=0

16 x^{2} + 4 y^{2} + 16 x + 49 y - 81 = 0

((x-4)^2}{10}+\frac{(y-2)^2)/6 =1

\frac{( x - 4 ) ^{2}}{10} + \frac{( y - 2 ) ^{2}}{6} = 1