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Beliebt Geometry >

9x^2+25y^2+36x-100y-89=0

Lösung

9 x^{2} + 25 y^{2} + 36 x - 100 y - 89 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} + 25 y^{2} + 36 x - 100 y - 89 = 0

Rewrite

9 x^{2} + 25 y^{2} + 36 x - 100 y - 89 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

5 x^{2} + 8 y^{2} = 40

5 x^{2} + 3 y^{2} = 15

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

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

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

9x^2+16y^2+180x-256y-452=0

9 x^{2} + 16 y^{2} + 180 x - 256 y - 452 = 0