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Beliebt Geometry >

2x^2+y^2=225

Lösung

2 x^{2} + y^{2} = 225

Lösung

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

Schritte zur Lösung

2 x^{2} + y^{2} = 225

Rewrite

2 x^{2} + y^{2} = 225

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{15}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{1 5 ^{2}} = 1

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

((x+3)^2)/(36)+((y-1)^2)/(16)=1

\frac{( x + 3 ) ^{2}}{36} + \frac{( y - 1 ) ^{2}}{16} = 1

4 x^{2} + 9 y^{2} = 40

x^2+5y^2+6x-40y-167=0

x^{2} + 5 y^{2} + 6 x - 40 y - 167 = 0

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

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

4x^2+9y^2+8x-36y+4=0

4 x^{2} + 9 y^{2} + 8 x - 36 y + 4 = 0