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Beliebt Geometry >

3x^2+2y^2-16x+15=0

Lösung

3 x^{2} + 2 y^{2} - 16 x + 15 = 0

Lösung

(h, k) = (\frac{8}{3}, 0), a = \frac{19}{3}, b = \frac{19}{6}

Schritte zur Lösung

3 x^{2} + 2 y^{2} - 16 x + 15 = 0

Rewrite

3 x^{2} + 2 y^{2} - 16 x + 15 = 0

in the form of the standard ellipse equation

\frac{( x - \frac{8}{3} ) ^{2}}{( \frac{19}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{19}{6} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{8}{3}, 0), a = \frac{19}{3}, b = \frac{19}{6}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (\frac{8}{3}, 0), b = \frac{19}{6}, a = \frac{19}{3}

Graph

Beliebte Beispiele

(x^2)/(400)+(y^2)/(100)=1

\frac{x ^{2}}{400} + \frac{y ^{2}}{100} = 1

((x-3)^2)/7+(y^2)/(15)=1

\frac{( x - 3 ) ^{2}}{7} + \frac{y ^{2}}{15} = 1

x^2-6x+4y^2+16y+21=0

x^{2} - 6 x + 4 y^{2} + 16 y + 21 = 0

16x^2+36y^2-96x+36y+9=0

16 x^{2} + 36 y^{2} - 96 x + 36 y + 9 = 0

(x^2)/(144)+(y^2)/(16)=1

\frac{x ^{2}}{144} + \frac{y ^{2}}{16} = 1