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Beliebt Geometry >

3x^2+5y^2-6x-20y+8=0

Lösung

3 x^{2} + 5 y^{2} - 6 x - 20 y + 8 = 0

Lösung

(h, k) = (1, 2), a = 5, b = 3

Schritte zur Lösung

3 x^{2} + 5 y^{2} - 6 x - 20 y + 8 = 0

Rewrite

3 x^{2} + 5 y^{2} - 6 x - 20 y + 8 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 2), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 2), a = 5, b = 3

Graph

Beliebte Beispiele

(x^2)/3+(y^2)/(sqrt(5))=1

\frac{x ^{2}}{3} + \frac{y ^{2}}{5} = 1

0^2=(-sqrt(16-x^2-y^2))^2

0^{2} = (- 16 - x^{2} - y^{2})^{2}

25x^2+4y^2-50x+8y-71=0

25 x^{2} + 4 y^{2} - 50 x + 8 y - 71 = 0

16x^2-64x+25y^2+100y=236

16 x^{2} - 64 x + 25 y^{2} + 100 y = 236

9 x^{2} + 11 y^{2} = 10