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Beliebt Geometry >

100x^2+36y^2=225

Lösung

100 x^{2} + 36 y^{2} = 225

Lösung

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

Schritte zur Lösung

100 x^{2} + 36 y^{2} = 225

Rewrite

100 x^{2} + 36 y^{2} = 225

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

x^2-10x+5y^2+30y=-50

x^{2} - 10 x + 5 y^{2} + 30 y = - 50

x^2+9y^2+6y-3=0

x^{2} + 9 y^{2} + 6 y - 3 = 0

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

((x-1)^2}{16}+\frac{(y-0)^2)/9 =1

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 0 ) ^{2}}{9} = 1

15x^2+16y^2=240

15 x^{2} + 16 y^{2} = 240