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Beliebt Geometry >

25x^2+9y^2+50x-54y-119=0

Lösung

25 x^{2} + 9 y^{2} + 50 x - 54 y - 119 = 0

Lösung

(h, k) = (- 1, 3), a = 3, b = 5

Schritte zur Lösung

25 x^{2} + 9 y^{2} + 50 x - 54 y - 119 = 0

Rewrite

25 x^{2} + 9 y^{2} + 50 x - 54 y - 119 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, 3), a = 3, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 1, 3), b = 5, a = 3

Graph

Beliebte Beispiele

((x-0.5)^2}{10}+\frac{(y-3)^2)/5 =1

\frac{( x - 0.5 ) ^{2}}{10} + \frac{( y - 3 ) ^{2}}{5} = 1

x^{2} + 2 y^{2} < 1

(3x-3)^2+(2y-4)^2=43+9+16

(3 x - 3)^{2} + (2 y - 4)^{2} = 43 + 9 + 16

x^{2} + y^{2} + 12 y = 0

9x^2+25y^2+108x-200y+4=0

9 x^{2} + 25 y^{2} + 108 x - 200 y + 4 = 0