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Beliebt Geometry >

9x^2+25y^2-54x-100y-44=0

Lösung

9 x^{2} + 25 y^{2} - 54 x - 100 y - 44 = 0

Lösung

(h, k) = (3, 2), a = 5, b = 3

Schritte zur Lösung

9 x^{2} + 25 y^{2} - 54 x - 100 y - 44 = 0

Rewrite

9 x^{2} + 25 y^{2} - 54 x - 100 y - 44 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, 2), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, 2), a = 5, b = 3

Graph

Beliebte Beispiele

((x^2-4x))/4+((y^2-6y))/9 =-1

\frac{( x ^{2} - 4 x )}{4} + \frac{( y ^{2} - 6 y )}{9} = - 1

2x^2+4y^2+10x+8y-9=0

2 x^{2} + 4 y^{2} + 10 x + 8 y - 9 = 0

2 x^{2} + 5 y^{2} = 9

2 x^{2} + 5 y^{2} = 8

(y^2)/(81)+((x+5)^2)/(27)=1

\frac{y ^{2}}{81} + \frac{( x + 5 ) ^{2}}{27} = 1