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Beliebt Geometry >

16x^2+4y^2-128x-16y+206=0

Lösung

16 x^{2} + 4 y^{2} - 128 x - 16 y + 206 = 0

Lösung

(h, k) = (4, 2), a = \frac{33}{2 2}, b = \frac{33}{2}

Schritte zur Lösung

16 x^{2} + 4 y^{2} - 128 x - 16 y + 206 = 0

Rewrite

16 x^{2} + 4 y^{2} - 128 x - 16 y + 206 = 0

in the form of the standard ellipse equation

\frac{( x - 4 ) ^{2}}{( \frac{33}{2 2} ) ^{2}} + \frac{( y - 2 ) ^{2}}{( \frac{33}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (4, 2), a = \frac{33}{2 2}, b = \frac{33}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (4, 2), b = \frac{33}{2}, a = \frac{33}{2 2}

Graph

Beliebte Beispiele

2 x^{2} + 6 y^{2} = 168

((x+4)^2}{0.25}+\frac{(y-8)^2)/1 =1

\frac{( x + 4 ) ^{2}}{0.25} + \frac{( y - 8 ) ^{2}}{1} = 1

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-(x^2)/1-(y^2)/4 =1

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16x^2+36y^2-256x+448=0

16 x^{2} + 36 y^{2} - 256 x + 448 = 0