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Beliebt Geometry >

9x^2+4y^2-36x+8y+31=0

Lösung

9 x^{2} + 4 y^{2} - 36 x + 8 y + 31 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} + 4 y^{2} - 36 x + 8 y + 31 = 0

Rewrite

9 x^{2} + 4 y^{2} - 36 x + 8 y + 31 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

9x^2+25y^2+90x=0

9 x^{2} + 25 y^{2} + 90 x = 0

x^{2} + 2 y^{2} = 11

3x^2+y^2-5x=2-y

3 x^{2} + y^{2} - 5 x = 2 - y

((x-3)^2)/4+((y-3)^2)/(16)=1

\frac{( x - 3 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{16} = 1

4 x^{2} + 2 y^{2} = 16