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Beliebt Geometry >

4x^2+y^2-24x+4y+24=0

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

(x-3y)/(x^2+y^2)+1=0

\frac{x - 3 y}{x ^{2} + y ^{2}} + 1 = 0

a^2+(a^2)/2+(b^2)/2 =26

a^{2} + \frac{a ^{2}}{2} + \frac{b ^{2}}{2} = 26

((x-4)^2)/(25)+((y+7)^2)/(16)=1

\frac{( x - 4 ) ^{2}}{25} + \frac{( y + 7 ) ^{2}}{16} = 1

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

((X-3)^2)/(169)+((Y-2)^2)/(144)=1

\frac{( X - 3 ) ^{2}}{169} + \frac{( Y - 2 ) ^{2}}{144} = 1