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Beliebt Geometry >

2x^2+3y^2+8x+9y-10=0

Lösung

2 x^{2} + 3 y^{2} + 8 x + 9 y - 10 = 0

Lösung

(h, k) = (- 2, - \frac{3}{2}), a = \frac{3 11}{2 2}, b = \frac{33}{2}

Schritte zur Lösung

2 x^{2} + 3 y^{2} + 8 x + 9 y - 10 = 0

Rewrite

2 x^{2} + 3 y^{2} + 8 x + 9 y - 10 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{( \frac{3 11}{2 2} ) ^{2}} + \frac{( y - ( - \frac{3}{2} ) ) ^{2}}{( \frac{33}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, - \frac{3}{2}), a = \frac{3 11}{2 2}, b = \frac{33}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, - \frac{3}{2}), a = \frac{3 11}{2 2}, b = \frac{33}{2}

Graph

Beliebte Beispiele

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

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

3x^2+y^2+2x-6y-3=0

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

25x^2+4y^2-50x+16y-59=0

25 x^{2} + 4 y^{2} - 50 x + 16 y - 59 = 0

5 x^{2} + 7 y^{2} = 35

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

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