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Beliebt Geometry >

3x^2+5y^2-1=0

Lösung

3 x^{2} + 5 y^{2} - 1 = 0

Lösung

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{5}

Schritte zur Lösung

3 x^{2} + 5 y^{2} - 1 = 0

Rewrite

3 x^{2} + 5 y^{2} - 1 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{5}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{5}

Graph

Beliebte Beispiele

x^{(2)}+4y^{(2)}-10x-40y+109=0

x^{(2)} + 4 y^{(2)} - 10 x - 40 y + 109 = 0

x^{2} + y^{2} + 6 y < 0

4x^2+9y^2+12x-18y-83/4 =0

4 x^{2} + 9 y^{2} + 12 x - 18 y - \frac{83}{4} = 0

9x^2+25y^2-18x-100y-3=0

9 x^{2} + 25 y^{2} - 18 x - 100 y - 3 = 0

((x^2)/(a^2))+((y^2)/(b^2))=1

(\frac{x ^{2}}{a ^{2}}) + (\frac{y ^{2}}{b ^{2}}) = 1