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Beliebt Geometry >

(x^2)/4+(y^2)/8 = 3/4

Lösung

\frac{x ^{2}}{4} + \frac{y ^{2}}{8} = \frac{3}{4}

Lösung

(h, k) = (0, 0), a = 3, b = 6

Schritte zur Lösung

\frac{x ^{2}}{4} + \frac{y ^{2}}{8} = \frac{3}{4}

Rewrite

\frac{x ^{2}}{4} + \frac{y ^{2}}{8} = \frac{3}{4}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 3 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 6 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = 3

Graph

Beliebte Beispiele

((x-5)^2)/9+((y-4)^2)/(25)=1

\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 4 ) ^{2}}{25} = 1

((x-5)^2)/4+((y+2)^2)/9 =1

\frac{( x - 5 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{9} = 1

(x^2)/(12)+(y^2)/(25)=1

\frac{x ^{2}}{12} + \frac{y ^{2}}{25} = 1

1x^2+3y^2+10x+10y-11=0

1 x^{2} + 3 y^{2} + 10 x + 10 y - 11 = 0

16x^2-160x+25y^2+350y-1225=0

16 x^{2} - 160 x + 25 y^{2} + 350 y - 1225 = 0