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Beliebt Geometry >

9x^2+5y^2-18x-40y+44=0

Lösung

9 x^{2} + 5 y^{2} - 18 x - 40 y + 44 = 0

Lösung

(h, k) = (1, 4), a = 5, b = 3

Schritte zur Lösung

9 x^{2} + 5 y^{2} - 18 x - 40 y + 44 = 0

Rewrite

9 x^{2} + 5 y^{2} - 18 x - 40 y + 44 = 0

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( 5 ) ^{2}} + \frac{( y - 4 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 4), a = 5, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 4), b = 3, a = 5

Graph

Beliebte Beispiele

((x-3)^2)/9+((y-4)^2)/(16)=1

\frac{( x - 3 ) ^{2}}{9} + \frac{( y - 4 ) ^{2}}{16} = 1

(x^2}{16}+\frac{(y)^2)/4 =1

\frac{x ^{2}}{16} + \frac{( y ) ^{2}}{4} = 1

((y+3)^2)/(25)+((x+4)^2)/(16)=1

\frac{( y + 3 ) ^{2}}{25} + \frac{( x + 4 ) ^{2}}{16} = 1

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

2 \cdot x^{2} + y^{2} = 6