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Beliebt Geometry >

(x^2+8x)+(3y^2+8y)=11

Lösung

(x^{2} + 8 x) + (3 y^{2} + 8 y) = 11

Lösung

(h, k) = (- 4, - \frac{4}{3}), a = \frac{97}{3}, b = \frac{97}{3}

Schritte zur Lösung

x^{2} + 8 x + (3 y^{2} + 8 y) = 11

Rewrite

x^{2} + 8 x + (3 y^{2} + 8 y) = 11

in the form of the standard ellipse equation

\frac{( x - ( - 4 ) ) ^{2}}{( \frac{97}{3} ) ^{2}} + \frac{( y - ( - \frac{4}{3} ) ) ^{2}}{( \frac{97}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 4, - \frac{4}{3}), a = \frac{97}{3}, b = \frac{97}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 4, - \frac{4}{3}), a = \frac{97}{3}, b = \frac{97}{3}

Graph

Beliebte Beispiele

(x^2}{25/4}+\frac{y^2)/4 =1

\frac{x ^{2}}{\frac{25}{4}} + \frac{y ^{2}}{4} = 1

9x^2+4y^2-90x+189=0

9 x^{2} + 4 y^{2} - 90 x + 189 = 0

x^2+30x+12y^2=0

x^{2} + 30 x + 12 y^{2} = 0

9 x^{2} + 14 y^{2} = 126

((x+4)^2)/(16)+((y-1)^2)/(36)=1

\frac{( x + 4 ) ^{2}}{16} + \frac{( y - 1 ) ^{2}}{36} = 1