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Beliebt Geometry >

x^2+4y^2-6x-32y+72=0

Lösung

x^{2} + 4 y^{2} - 6 x - 32 y + 72 = 0

Lösung

(h, k) = (3, 4), a = 1, b = \frac{1}{2}

Schritte zur Lösung

x^{2} + 4 y^{2} - 6 x - 32 y + 72 = 0

Rewrite

x^{2} + 4 y^{2} - 6 x - 32 y + 72 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, 4), a = 1, b = \frac{1}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, 4), a = 1, b = \frac{1}{2}

Graph

Beliebte Beispiele

9x^2+y^2-54x-6y+81=0

9 x^{2} + y^{2} - 54 x - 6 y + 81 = 0

9x^2+25y^2-144x+200y+751=0

9 x^{2} + 25 y^{2} - 144 x + 200 y + 751 = 0

x^2+4y^2-6x+12y-11=0

x^{2} + 4 y^{2} - 6 x + 12 y - 11 = 0

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

4 - x^{2} - 4 y^{2} = 1