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Beliebt Geometry >

9x^2+18x+16y^2-64y-71=0

Lösung

9 x^{2} + 18 x + 16 y^{2} - 64 y - 71 = 0

Lösung

(h, k) = (- 1, 2), a = 4, b = 3

Schritte zur Lösung

9 x^{2} + 18 x + 16 y^{2} - 64 y - 71 = 0

Rewrite

9 x^{2} + 18 x + 16 y^{2} - 64 y - 71 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, 2), a = 4, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 1, 2), a = 4, b = 3

Graph

Beliebte Beispiele

16x^2+36y^2-96x+144y+144=0

16 x^{2} + 36 y^{2} - 96 x + 144 y + 144 = 0

9x^2+36x+16y^2-96y=-36

9 x^{2} + 36 x + 16 y^{2} - 96 y = - 36

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

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

x^{2} + 6 y^{2} = 15

(x^2)/9+(y^2)/4 =2

\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 2