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Beliebt Geometry >

36x^2+9y^2+36y-288=0

Lösung

36 x^{2} + 9 y^{2} + 36 y - 288 = 0

Lösung

(h, k) = (0, - 2), a = 3, b = 6

Schritte zur Lösung

36 x^{2} + 9 y^{2} + 36 y - 288 = 0

Rewrite

36 x^{2} + 9 y^{2} + 36 y - 288 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - ( - 2 ) ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, - 2), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, - 2), b = 6, a = 3

Graph

Beliebte Beispiele

3 x^{2} + 4 y^{2} = 16

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

9x^2+25y^2-225=0

9 x^{2} + 25 y^{2} - 225 = 0

4y^2-16y+x^2+2x=-1

4 y^{2} - 16 y + x^{2} + 2 x = - 1

4x^2+9y^2-8x+90y+193=0

4 x^{2} + 9 y^{2} - 8 x + 90 y + 193 = 0