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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

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

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4x^2-2x+9y^2+6y=41

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

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

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

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