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Beliebt Geometry >

9= 1/(x^2+y^2-7)

Lösung

9 = \frac{1}{x ^{2} + y ^{2} - 7}

Lösung

(h, k) = (0, 0), a = \frac{8}{3}, b = \frac{8}{3}

Schritte zur Lösung

9 = \frac{1}{x ^{2} + y ^{2} - 7}

Rewrite

9 - \frac{1}{x ^{2} + y ^{2} - 7} = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{8}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{8}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{8}{3}, b = \frac{8}{3}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{8}{3}, a = \frac{8}{3}

Graph

Beliebte Beispiele

x^2+8y^2-12x-16y-36=0

x^{2} + 8 y^{2} - 12 x - 16 y - 36 = 0

16x^2+36y^2-256x+576y+2752=0

16 x^{2} + 36 y^{2} - 256 x + 576 y + 2752 = 0

x^{2} + 5 y^{2} = 150

36 x^{2} + 16 y^{2} = 49

81X^2+49Y^2=3969

81 X^{2} + 49 Y^{2} = 3969