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Beliebt Geometry >

9x^2+25y^2-18x-100y-3=0

Lösung

9 x^{2} + 25 y^{2} - 18 x - 100 y - 3 = 0

Lösung

(h, k) = (1, 2), a = \frac{4 7}{3}, b = \frac{4 7}{5}

Schritte zur Lösung

9 x^{2} + 25 y^{2} - 18 x - 100 y - 3 = 0

Rewrite

9 x^{2} + 25 y^{2} - 18 x - 100 y - 3 = 0

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( \frac{4 7}{3} ) ^{2}} + \frac{( y - 2 ) ^{2}}{( \frac{4 7}{5} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 2), a = \frac{4 7}{3}, b = \frac{4 7}{5}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 2), a = \frac{4 7}{3}, b = \frac{4 7}{5}

Graph

Beliebte Beispiele

((x^2)/(a^2))+((y^2)/(b^2))=1

(\frac{x ^{2}}{a ^{2}}) + (\frac{y ^{2}}{b ^{2}}) = 1

14x^2+11y^2-252x-22y+991=0

14 x^{2} + 11 y^{2} - 252 x - 22 y + 991 = 0

((x+4)^2)/(16)+((y-5)^2)/(25)=1

\frac{( x + 4 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{25} = 1

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

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

x^{2} = 1 - 4 y^{2}