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Beliebt Geometry >

((x-2)^2)/9+((y-1)^2)/(36)=1

Lösung

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{36} = 1

Lösung

(h, k) = (2, 1), a = 3, b = 6

Schritte zur Lösung

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{36} = 1

Rewrite

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{36} = 1

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{3 ^{2}} + \frac{( y - 1 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 1), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 1), b = 6, a = 3

Graph

Beliebte Beispiele

((x-3)^2)/(16)+((y+2)^2)/(25)=1

\frac{( x - 3 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{25} = 1

9x^2+25y^2-54x+100y-44=0

9 x^{2} + 25 y^{2} - 54 x + 100 y - 44 = 0

2x^2-8x+y^2-6y+7=0

2 x^{2} - 8 x + y^{2} - 6 y + 7 = 0

3x^2+2y^2-12x+6y-10=0

3 x^{2} + 2 y^{2} - 12 x + 6 y - 10 = 0

4.14x^2+3.92y^2-41.82x-82.62y+78=0

4.14 x^{2} + 3.92 y^{2} - 41.82 x - 82.62 y + 78 = 0