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Beliebt Geometry >

20x^2+9y^2=225

Lösung

20 x^{2} + 9 y^{2} = 225

Lösung

(h, k) = (0, 0), a = \frac{3 5}{2}, b = 5

Schritte zur Lösung

20 x^{2} + 9 y^{2} = 225

Rewrite

20 x^{2} + 9 y^{2} = 225

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{3 5}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{3 5}{2}, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 5, a = \frac{3 5}{2}

Graph

Beliebte Beispiele

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

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

(((x+5)^2)}{10}+\frac{((y+4)^2))/8 =1

\frac{( ( x + 5 ) ^{2} )}{10} + \frac{( ( y + 4 ) ^{2} )}{8} = 1

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

2x^2+9y^2-12x-18y+9=0

2 x^{2} + 9 y^{2} - 12 x - 18 y + 9 = 0

(x^2)/(100)+(y^2)/(144)=1

\frac{x ^{2}}{100} + \frac{y ^{2}}{144} = 1