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Beliebt Geometry >

256x^2-800x+625=400x^2-800x+400y^2+400

Lösung

256 x^{2} - 800 x + 625 = 400 x^{2} - 800 x + 400 y^{2} + 400

Lösung

(h, k) = (0, 0), a = \frac{5}{4}, b = \frac{3}{4}

Schritte zur Lösung

256 x^{2} - 800 x + 625 = 400 x^{2} - 800 x + 400 y^{2} + 400

Rewrite

256 x^{2} - 800 x + 625 - 400 x^{2} + 800 x - 400 y^{2} - 400 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{5}{4} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{3}{4} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{5}{4}, b = \frac{3}{4}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{5}{4}, b = \frac{3}{4}

Graph

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