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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (- 4, - \frac{9}{8}), a = \frac{481}{4}, b = \frac{481}{8}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - ( - 4 ) ) ^{2}}{( \frac{481}{4} ) ^{2}} + \frac{( y - ( - \frac{9}{8} ) ) ^{2}}{( \frac{481}{8} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 4, - \frac{9}{8}), a = \frac{481}{4}, b = \frac{481}{8}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 4, - \frac{9}{8}), a = \frac{481}{4}, b = \frac{481}{8}

Graph

Beliebte Beispiele

17x^2+10^2x+10y^2+80y+143=0

17 x^{2} + 1 0^{2} x + 10 y^{2} + 80 y + 143 = 0

169x^2+144y^2-338x-864y-22871=0

169 x^{2} + 144 y^{2} - 338 x - 864 y - 22871 = 0

x^{2} + y^{2} < 2 y

25 x^{2} + 50 y^{2} = 25

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

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