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Beliebt Geometry >

49x^2+64y^2=25

Lösung

49 x^{2} + 64 y^{2} = 25

Lösung

(h, k) = (0, 0), a = \frac{5}{7}, b = \frac{5}{8}

Schritte zur Lösung

49 x^{2} + 64 y^{2} = 25

Rewrite

49 x^{2} + 64 y^{2} = 25

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{5}{7} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{5}{8} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{5}{7}, b = \frac{5}{8}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{5}{7}, b = \frac{5}{8}

Graph

Beliebte Beispiele

-2x^2-8x-y^2+16y=52

- 2 x^{2} - 8 x - y^{2} + 16 y = 52

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9 x^{2} + 4 y^{2} - 90 x + 32 y + 145 = 0

((x-2.22)^2)/(2.54)+(y^2)/(1.11)=2

\frac{( x - 2.22 ) ^{2}}{2.54} + \frac{y ^{2}}{1.11} = 2

25x^2+16y^2-100x-64y-236=0

25 x^{2} + 16 y^{2} - 100 x - 64 y - 236 = 0

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12 x - 5 y + 10 x^{2} + 25 = \frac{- ( 100 y ^{2} )}{10 + 3}