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Beliebt Geometry >

1=4x^2+2y^2

Lösung

1 = 4 x^{2} + 2 y^{2}

Lösung

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{1}{2}

Schritte zur Lösung

1 = 4 x^{2} + 2 y^{2}

Rewrite

1 = 4 x^{2} + 2 y^{2}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{1}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{1}{2}, a = \frac{1}{2}

Graph

Beliebte Beispiele

x^{2} + 2 y^{2} - 6 y = 18

((x-4)^2)/(32)+((y-3)^2)/(36)=1

\frac{( x - 4 ) ^{2}}{32} + \frac{( y - 3 ) ^{2}}{36} = 1

((x^2))/(63500)+((y^2))/(50900)=1

\frac{( x ^{2} )}{63500} + \frac{( y ^{2} )}{50900} = 1

X^2+3Y^2-4X-23=0

X^{2} + 3 Y^{2} - 4 X - 23 = 0

1/2 x^2+1/8 y^2= 1/4

\frac{1}{2} x^{2} + \frac{1}{8} y^{2} = \frac{1}{4}