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Beliebt Geometry >

4x^2+9y^2=1

Lösung

4 x^{2} + 9 y^{2} = 1

Lösung

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{1}{3}

Schritte zur Lösung

4 x^{2} + 9 y^{2} = 1

Rewrite

4 x^{2} + 9 y^{2} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{1}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{1}{2}, b = \frac{1}{3}

Graph

Beliebte Beispiele

3x^2+2y^2-12x+12y+29=0

3 x^{2} + 2 y^{2} - 12 x + 12 y + 29 = 0

((x-1)^2)/9+(y^2)/5 =100

\frac{( x - 1 ) ^{2}}{9} + \frac{y ^{2}}{5} = 100

x^2+3y^2+2x-12y+10=0

x^{2} + 3 y^{2} + 2 x - 12 y + 10 = 0

4x^2+9y^2-32x-36y+64=0

4 x^{2} + 9 y^{2} - 32 x - 36 y + 64 = 0

25x^2+16y^2+100x-96y-156=0

25 x^{2} + 16 y^{2} + 100 x - 96 y - 156 = 0