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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (\frac{3}{2}, \frac{5}{6}), a = \frac{13}{3}, b = \frac{13}{3}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - \frac{3}{2} ) ^{2}}{( \frac{13}{3} ) ^{2}} + \frac{( y - \frac{5}{6} ) ^{2}}{( \frac{13}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{3}{2}, \frac{5}{6}), a = \frac{13}{3}, b = \frac{13}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{3}{2}, \frac{5}{6}), a = \frac{13}{3}, b = \frac{13}{3}

Graph

Beliebte Beispiele

x^2-2x+4y^2-24y+33=0

x^{2} - 2 x + 4 y^{2} - 24 y + 33 = 0

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

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

4x^2+y^2+56=4y-56x

4 x^{2} + y^{2} + 56 = 4 y - 56 x

((x-(-2))^2)/9+((y-3)^2)/(25)=1

\frac{( x - ( - 2 ) ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{25} = 1

((x^2)/(15))+(((y-8)^2)/(49))=1

(\frac{x ^{2}}{15}) + (\frac{( y - 8 ) ^{2}}{49}) = 1