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Beliebt Geometry >

25x^2+12y^2+20x-12y=4

Lösung

25 x^{2} + 12 y^{2} + 20 x - 12 y = 4

Lösung

(h, k) = (- \frac{2}{5}, \frac{1}{2}), a = \frac{11}{5}, b = \frac{11}{2 3}

Schritte zur Lösung

25 x^{2} + 12 y^{2} + 20 x - 12 y = 4

Rewrite

25 x^{2} + 12 y^{2} + 20 x - 12 y = 4

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- \frac{2}{5}, \frac{1}{2}), a = \frac{11}{5}, b = \frac{11}{2 3}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- \frac{2}{5}, \frac{1}{2}), b = \frac{11}{2 3}, a = \frac{11}{5}

Graph

Beliebte Beispiele

9x^2+4y^2-18x+24y+9=0

9 x^{2} + 4 y^{2} - 18 x + 24 y + 9 = 0

(((x+3))/(16))^2+((y-5)^2)/(25)=1

(\frac{( x + 3 )}{16})^{2} + \frac{( y - 5 ) ^{2}}{25} = 1

4 = x^{2} + 9 y^{2}

1x^2+3y^2+9x+9y-12=0

1 x^{2} + 3 y^{2} + 9 x + 9 y - 12 = 0

2 x^{2} + 9 y^{2} = 18