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Beliebt Geometry >

4x^2+y^2-32x-4y+67=0

Lösung

4 x^{2} + y^{2} - 32 x - 4 y + 67 = 0

Lösung

(h, k) = (4, 2), a = \frac{1}{2}, b = 1

Schritte zur Lösung

4 x^{2} + y^{2} - 32 x - 4 y + 67 = 0

Rewrite

4 x^{2} + y^{2} - 32 x - 4 y + 67 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (4, 2), a = \frac{1}{2}, b = 1

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (4, 2), b = 1, a = \frac{1}{2}

Graph

Beliebte Beispiele

((x-4)^2)/9+((y-1)^2)/(25)=1

\frac{( x - 4 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{25} = 1

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

((x+3)^2)/9+((y-1)^2)/(49)=1

\frac{( x + 3 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{49} = 1

5 x^{2} + 6 y^{2} = 30

x^{2} + 25 y^{2} = 25