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Beliebt Geometry >

9x^2+4y^2+18x-8y-23=0

Lösung

9 x^{2} + 4 y^{2} + 18 x - 8 y - 23 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} + 4 y^{2} + 18 x - 8 y - 23 = 0

Rewrite

9 x^{2} + 4 y^{2} + 18 x - 8 y - 23 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

9(x-3)^2+4(y-4)^2=36

9 (x - 3)^{2} + 4 (y - 4)^{2} = 36

((x-7)^2)/3+((y+11)^2)/5 =1

\frac{( x - 7 ) ^{2}}{3} + \frac{( y + 11 ) ^{2}}{5} = 1

20 x^{2} + 4 y^{2} = 5

((x-5)^2)/(12)+((y+2)^2)/(16)=1

\frac{( x - 5 ) ^{2}}{12} + \frac{( y + 2 ) ^{2}}{16} = 1

x^2+2y^2-10x+8y+29=0

x^{2} + 2 y^{2} - 10 x + 8 y + 29 = 0