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Beliebt Geometry >

9x^2+18x+16y^2-96y+9=0

Lösung

9 x^{2} + 18 x + 16 y^{2} - 96 y + 9 = 0

Lösung

(h, k) = (- 1, 3), a = 4, b = 3

Schritte zur Lösung

9 x^{2} + 18 x + 16 y^{2} - 96 y + 9 = 0

Rewrite

9 x^{2} + 18 x + 16 y^{2} - 96 y + 9 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, 3), a = 4, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 1, 3), a = 4, b = 3

Graph

Beliebte Beispiele

3x^2+2y^2<= 13950

3 x^{2} + 2 y^{2} \leq 13950

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

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

((x-3)^2)/(4^2)+((y+2)^2)/(3^2)=1

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

((x)^2)/(25)+((y)^2)/(16)=1

\frac{( x ) ^{2}}{25} + \frac{( y ) ^{2}}{16} = 1

(x^2)/(256)+(y^2)/(400)=2

\frac{x ^{2}}{256} + \frac{y ^{2}}{400} = 2