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Beliebt Geometry >

64y^2-512y-(-x^2-16x+105)=0

Lösung

64 y^{2} - 512 y - (- x^{2} - 16 x + 105) = 0

Lösung

(h, k) = (- 8, 4), a = 1193, b = \frac{1193}{8}

Schritte zur Lösung

64 y^{2} - 512 y - (- x^{2} - 16 x + 105) = 0

Rewrite

64 y^{2} - 512 y - (- x^{2} - 16 x + 105) = 0

in the form of the standard ellipse equation

\frac{( x - ( - 8 ) ) ^{2}}{( 1193 ) ^{2}} + \frac{( y - 4 ) ^{2}}{( \frac{1193}{8} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 8, 4), a = 1193, b = \frac{1193}{8}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 8, 4), a = 1193, b = \frac{1193}{8}

Graph

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