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Beliebt Geometry >

16x^2+25y^2-64x+150y=-279

Lösung

16 x^{2} + 25 y^{2} - 64 x + 150 y = - 279

Lösung

(h, k) = (2, - 3), a = \frac{5}{2 2}, b = \frac{2}{5}

Schritte zur Lösung

16 x^{2} + 25 y^{2} - 64 x + 150 y = - 279

Rewrite

16 x^{2} + 25 y^{2} - 64 x + 150 y = - 279

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, - 3), a = \frac{5}{2 2}, b = \frac{2}{5}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 3), a = \frac{5}{2 2}, b = \frac{2}{5}

Graph

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