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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (0, 0), a = 5, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 5 ) ^{2}} + \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 5, b = 2

Graph

Beliebte Beispiele

64x^2+49y^2=3136

64 x^{2} + 49 y^{2} = 3136

(x^2)/(49)+(y^2)/(64)=1

\frac{x ^{2}}{49} + \frac{y ^{2}}{64} = 1

4x^2+25y^2+40x-150y+225=0

4 x^{2} + 25 y^{2} + 40 x - 150 y + 225 = 0

4(x-5)^2+9(y+2)^2=36

4 (x - 5)^{2} + 9 (y + 2)^{2} = 36

3x^2+4y^2-28x-16y+48=0

3 x^{2} + 4 y^{2} - 28 x - 16 y + 48 = 0