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Beliebt Geometry >

18x^2+8y^2+36x-32y-22=0

Lösung

18 x^{2} + 8 y^{2} + 36 x - 32 y - 22 = 0

Lösung

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

Schritte zur Lösung

18 x^{2} + 8 y^{2} + 36 x - 32 y - 22 = 0

Rewrite

18 x^{2} + 8 y^{2} + 36 x - 32 y - 22 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

9x^2+4y^2-72x-24y+144=0

9 x^{2} + 4 y^{2} - 72 x - 24 y + 144 = 0

x^{(2)}+2y^{(2)}+2x-20y+43=0

x^{(2)} + 2 y^{(2)} + 2 x - 20 y + 43 = 0

((x-2)^2}{16}+\frac{(y+1)^2)/4 =1

\frac{( x - 2 ) ^{2}}{16} + \frac{( y + 1 ) ^{2}}{4} = 1

x^{2} + 4 y^{2} \leq 16

16x^2+y^2-32x+4y-44=0

16 x^{2} + y^{2} - 32 x + 4 y - 44 = 0