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Beliebt Geometry >

25-x^2-y^2=e^4

Lösung

25 - x^{2} - y^{2} = e^{4}

Lösung

(h, k) = (0, 0), a = e^{4} - 25, b = e^{4} - 25

Schritte zur Lösung

25 - x^{2} - y^{2} = e^{4}

Rewrite

25 - x^{2} - y^{2} = e^{4}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( e ^{4} - 25 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( e ^{4} - 25 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = e^{4} - 25, b = e^{4} - 25

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = e^{4} - 25, a = e^{4} - 25

Graph

Beliebte Beispiele

9 x^{2} + y^{2} = 36

25x^2+49y^2+100x-392y-341=0

25 x^{2} + 49 y^{2} + 100 x - 392 y - 341 = 0

9x^2+25y^2-6x-25y-19=0

9 x^{2} + 25 y^{2} - 6 x - 25 y - 19 = 0

(x^2)/(15)+(y^2)/(16)=1

\frac{x ^{2}}{15} + \frac{y ^{2}}{16} = 1

(x^2)/5+(y^2)/4 =1

\frac{x ^{2}}{5} + \frac{y ^{2}}{4} = 1