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Beliebt Geometry >

2x^2+8y^2=25

Lösung

2 x^{2} + 8 y^{2} = 25

Lösung

(h, k) = (0, 0), a = \frac{5}{2}, b = \frac{5}{2 2}

Schritte zur Lösung

2 x^{2} + 8 y^{2} = 25

Rewrite

2 x^{2} + 8 y^{2} = 25

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{5}{2}, b = \frac{5}{2 2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{5}{2}, b = \frac{5}{2 2}

Graph

Beliebte Beispiele

x^{2} + 16 y^{2} - 16 = 0

y^{2} = 36 - 4 x^{2}

x^2+3y^2+6x+6=0

x^{2} + 3 y^{2} + 6 x + 6 = 0

(x^2+8(y+5)^2)=20

(x^{2} + 8 (y + 5)^{2}) = 20

((x-4)^2)/(25)+((y-2)^2)/(16)=1

\frac{( x - 4 ) ^{2}}{25} + \frac{( y - 2 ) ^{2}}{16} = 1