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Beliebt Geometry >

4x^2+25y^2-6x+200y+304=0

Lösung

4 x^{2} + 25 y^{2} - 6 x + 200 y + 304 = 0

Lösung

(h, k) = (\frac{3}{4}, - 4), a = \frac{393}{4}, b = \frac{393}{10}

Schritte zur Lösung

4 x^{2} + 25 y^{2} - 6 x + 200 y + 304 = 0

Rewrite

4 x^{2} + 25 y^{2} - 6 x + 200 y + 304 = 0

in the form of the standard ellipse equation

\frac{( x - \frac{3}{4} ) ^{2}}{( \frac{393}{4} ) ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{( \frac{393}{10} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{3}{4}, - 4), a = \frac{393}{4}, b = \frac{393}{10}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{3}{4}, - 4), a = \frac{393}{4}, b = \frac{393}{10}

Graph

Beliebte Beispiele

((x-1)^2)/(16)+((y-2)^2)/(36)=1

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{36} = 1

16x^2+y^2+64x+4y+52=0

16 x^{2} + y^{2} + 64 x + 4 y + 52 = 0

20x^2+25y^2=400

20 x^{2} + 25 y^{2} = 400

x^2+4y^2-8x+16y+16=0

x^{2} + 4 y^{2} - 8 x + 16 y + 16 = 0

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

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