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Beliebt Geometry >

20x^2+36y^2=405

Lösung

20 x^{2} + 36 y^{2} = 405

Lösung

(h, k) = (0, 0), a = \frac{9}{2}, b = \frac{3 5}{2}

Schritte zur Lösung

20 x^{2} + 36 y^{2} = 405

Rewrite

20 x^{2} + 36 y^{2} = 405

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{9}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{3 5}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{9}{2}, b = \frac{3 5}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{9}{2}, b = \frac{3 5}{2}

Graph

Beliebte Beispiele

x/(x^2+y^2)= 3/4

\frac{x}{x ^{2} + y ^{2}} = \frac{3}{4}

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

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

36X^2+25Y^2=900

36 X^{2} + 25 Y^{2} = 900

1x^2+3y^2+8x+9y-14=0

1 x^{2} + 3 y^{2} + 8 x + 9 y - 14 = 0

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