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Beliebt Geometry >

2x^2+8y^2=15

Lösung

2 x^{2} + 8 y^{2} = 15

Lösung

(h, k) = (0, 0), a = \frac{15}{2}, b = \frac{15}{2 2}

Schritte zur Lösung

2 x^{2} + 8 y^{2} = 15

Rewrite

2 x^{2} + 8 y^{2} = 15

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{15}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{15}{2 2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{15}{2}, b = \frac{15}{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{15}{2}, b = \frac{15}{2 2}

Graph

Beliebte Beispiele

((x-1)^2)/9+((y+2)^2)/(16)=1

\frac{( x - 1 ) ^{2}}{9} + \frac{( y + 2 ) ^{2}}{16} = 1

144x^2+169y^2-288x+676y-33516=0

144 x^{2} + 169 y^{2} - 288 x + 676 y - 33516 = 0

25x^2+50x+4y^2-16y=59

25 x^{2} + 50 x + 4 y^{2} - 16 y = 59

3x^2+8y^2+12x+48y+60=1

3 x^{2} + 8 y^{2} + 12 x + 48 y + 60 = 1

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

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