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Beliebt Geometry >

4y^2+9x^2-24y-72x+144=0

Lösung

4 y^{2} + 9 x^{2} - 24 y - 72 x + 144 = 0

Lösung

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

Schritte zur Lösung

4 y^{2} + 9 x^{2} - 24 y - 72 x + 144 = 0

Rewrite

4 y^{2} + 9 x^{2} - 24 y - 72 x + 144 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

4x^2-8x+y^2+6y=3

4 x^{2} - 8 x + y^{2} + 6 y = 3

(x+4)^2+((y-41)/2)^2= 421/4

(x + 4)^{2} + (\frac{y - 41}{2})^{2} = \frac{421}{4}

(x^2)/(4900)+(y^2)/(2500)=1

\frac{x ^{2}}{4900} + \frac{y ^{2}}{2500} = 1

x^2+y^2-21/8 x+19/4-525/8 =0

x^{2} + y^{2} - \frac{21}{8} x + \frac{19}{4} - \frac{525}{8} = 0

25x^2+16y^2+200x+64y+64=0

25 x^{2} + 16 y^{2} + 200 x + 64 y + 64 = 0