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Beliebt Geometry >

((x-2)^2)/9+((y-3)^2)/5 =1

Lösung

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{5} = 1

Lösung

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

Schritte zur Lösung

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{5} = 1

Rewrite

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{5} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

16(x+1)^2+y^2=16

16 (x + 1)^{2} + y^{2} = 16

16x^2+9y^2-128x-90y+337=0

16 x^{2} + 9 y^{2} - 128 x - 90 y + 337 = 0

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

25x^2+4y^2+50x-16y-59=0

25 x^{2} + 4 y^{2} + 50 x - 16 y - 59 = 0

2 x^{2} + 9 y^{2} = 1