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Beliebt Geometry >

2x^2+3y^2+9x+10y-3=0

Lösung

2 x^{2} + 3 y^{2} + 9 x + 10 y - 3 = 0

Lösung

(h, k) = (- \frac{9}{4}, - \frac{5}{3}), a = \frac{515}{4 3}, b = \frac{515}{6 2}

Schritte zur Lösung

2 x^{2} + 3 y^{2} + 9 x + 10 y - 3 = 0

Rewrite

2 x^{2} + 3 y^{2} + 9 x + 10 y - 3 = 0

in the form of the standard ellipse equation

\frac{( x - ( - \frac{9}{4} ) ) ^{2}}{( \frac{515}{4 3} ) ^{2}} + \frac{( y - ( - \frac{5}{3} ) ) ^{2}}{( \frac{515}{6 2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- \frac{9}{4}, - \frac{5}{3}), a = \frac{515}{4 3}, b = \frac{515}{6 2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- \frac{9}{4}, - \frac{5}{3}), a = \frac{515}{4 3}, b = \frac{515}{6 2}

Graph

Beliebte Beispiele

((x-9)^2)/(64)+((y+2)^2)/(25)=1

\frac{( x - 9 ) ^{2}}{64} + \frac{( y + 2 ) ^{2}}{25} = 1

((x-2)^2)/(3.5^2)+((y-1)^2)/(2.5^2)=1

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

(3p+2q)2=9p^2+4q^2

(3 p + 2 q) 2 = 9 p^{2} + 4 q^{2}

((x-5)^2)/9+((y-4)^2)/(36)=1

\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 4 ) ^{2}}{36} = 1

(x^2)/4+(y^2)/(20)=1

\frac{x ^{2}}{4} + \frac{y ^{2}}{20} = 1