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Beliebt Geometry >

x^2+64x+9y^2+162y+949=0

Lösung

x^{2} + 64 x + 9 y^{2} + 162 y + 949 = 0

Lösung

(h, k) = (- 32, - 9), a = 2201, b = \frac{2 67}{3}

Schritte zur Lösung

x^{2} + 64 x + 9 y^{2} + 162 y + 949 = 0

Rewrite

x^{2} + 64 x + 9 y^{2} + 162 y + 949 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 32 ) ) ^{2}}{( 2 201 ) ^{2}} + \frac{( y - ( - 9 ) ) ^{2}}{( \frac{2 67}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 32, - 9), a = 2201, b = \frac{2 67}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 32, - 9), a = 2201, b = \frac{2 67}{3}

Graph

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