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Beliebt Geometry >

x^2+9y^2+8x-36y+43=0

Lösung

x^{2} + 9 y^{2} + 8 x - 36 y + 43 = 0

Lösung

(h, k) = (- 4, 2), a = 3, b = 1

Schritte zur Lösung

x^{2} + 9 y^{2} + 8 x - 36 y + 43 = 0

Rewrite

x^{2} + 9 y^{2} + 8 x - 36 y + 43 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 4, 2), a = 3, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 4, 2), a = 3, b = 1

Graph

Beliebte Beispiele

16x^2+96x+25y^2+100y-156=0

16 x^{2} + 96 x + 25 y^{2} + 100 y - 156 = 0

3x^2-6x+y^2+4y-2=0

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

(x^2)/(36)+(y^2)/(81)=1

\frac{x ^{2}}{36} + \frac{y ^{2}}{81} = 1

4x^2+25y^2-40x+150y+225=0

4 x^{2} + 25 y^{2} - 40 x + 150 y + 225 = 0

36 x^{2} + y^{2} = 36