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Beliebt Geometry >

4x^2+9y^2-32x-36y+64=0

Lösung

4 x^{2} + 9 y^{2} - 32 x - 36 y + 64 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + 9 y^{2} - 32 x - 36 y + 64 = 0

Rewrite

4 x^{2} + 9 y^{2} - 32 x - 36 y + 64 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

25x^2+16y^2+100x-96y-156=0

25 x^{2} + 16 y^{2} + 100 x - 96 y - 156 = 0

x^{2} + 3 y^{2} = 84

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

27x^2+48y^2=54x+192y+213

27 x^{2} + 48 y^{2} = 54 x + 192 y + 213

64x^2+100y^2+768x-600y-3196=0

64 x^{2} + 100 y^{2} + 768 x - 600 y - 3196 = 0