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Beliebt Geometry >

4(x-2)^2+9(y-3)^2=36

Lösung

4 (x - 2)^{2} + 9 (y - 3)^{2} = 36

Lösung

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

Schritte zur Lösung

4 (x - 2)^{2} + 9 (y - 3)^{2} = 36

Rewrite

4 (x - 2)^{2} + 9 (y - 3)^{2} = 36

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

(x^2)/(7.5^2)+(y^2)/(9^2)=1

\frac{x ^{2}}{7. 5 ^{2}} + \frac{y ^{2}}{9 ^{2}} = 1

x^2+4y^2+10x-8y+13=0

x^{2} + 4 y^{2} + 10 x - 8 y + 13 = 0

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

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

16x^2+y^2+96x-10y=-153

16 x^{2} + y^{2} + 96 x - 10 y = - 153

x^2+y^2-25=(x+25)/7-y

x^{2} + y^{2} - 25 = \frac{x + 25}{7} - y