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Beliebt Geometry >

9x^2+y^2+144x=-567

Lösung

9 x^{2} + y^{2} + 144 x = - 567

Lösung

(h, k) = (- 8, 0), a = 1, b = 3

Schritte zur Lösung

9 x^{2} + y^{2} + 144 x = - 567

Rewrite

9 x^{2} + y^{2} + 144 x = - 567

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 8, 0), a = 1, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 8, 0), b = 3, a = 1

Graph

Beliebte Beispiele

x^2+4y^2+2x-12y+6=0

x^{2} + 4 y^{2} + 2 x - 12 y + 6 = 0

((x-6)^2)/9+((y+7)^2)/(25)=1

\frac{( x - 6 ) ^{2}}{9} + \frac{( y + 7 ) ^{2}}{25} = 1

((x-2)^2)/9+((y-3)^2)/(25)=1

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{25} = 1

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

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

9x^2+4y^2+36x+24y+36=0

9 x^{2} + 4 y^{2} + 36 x + 24 y + 36 = 0