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Beliebt Geometry >

64x^2+25y^2-16x-16y-648=0

Lösung

64 x^{2} + 25 y^{2} - 16 x - 16 y - 648 = 0

Lösung

(h, k) = (\frac{1}{8}, \frac{8}{25}), a = \frac{16289}{40}, b = \frac{16289}{25}

Schritte zur Lösung

64 x^{2} + 25 y^{2} - 16 x - 16 y - 648 = 0

Rewrite

64 x^{2} + 25 y^{2} - 16 x - 16 y - 648 = 0

in the form of the standard ellipse equation

\frac{( x - \frac{1}{8} ) ^{2}}{( \frac{16289}{40} ) ^{2}} + \frac{( y - \frac{8}{25} ) ^{2}}{( \frac{16289}{25} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{1}{8}, \frac{8}{25}), a = \frac{16289}{40}, b = \frac{16289}{25}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (\frac{1}{8}, \frac{8}{25}), b = \frac{16289}{25}, a = \frac{16289}{40}

Graph

Beliebte Beispiele

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

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

25x^2+16y^2-150x+128y+81=0

25 x^{2} + 16 y^{2} - 150 x + 128 y + 81 = 0

25x^2+y^2-100x+8y+91=0

25 x^{2} + y^{2} - 100 x + 8 y + 91 = 0

49x^2+16y^2=784

49 x^{2} + 16 y^{2} = 784

((x-6)^2)/(36)+((y+1)^2)/(25)=1

\frac{( x - 6 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1