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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (0, 4), a = \frac{2}{3}, b = 4

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{2}{3} ) ^{2}} + \frac{( y - 4 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 4), a = \frac{2}{3}, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 4), b = 4, a = \frac{2}{3}

Graph

Beliebte Beispiele

x^2+4y^2-4x-32y+32=0

x^{2} + 4 y^{2} - 4 x - 32 y + 32 = 0

((x-1)^2)/5+((y+2)^2)/8 =1

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

(x^2)/6+(y^2)/(25)=1

\frac{x ^{2}}{6} + \frac{y ^{2}}{25} = 1

(x^2}{16}+\frac{y^2)/5 =1

\frac{x ^{2}}{16} + \frac{y ^{2}}{5} = 1

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

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