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Beliebt Geometry >

4x^2+y^2+64x-y+201=0

Lösung

4 x^{2} + y^{2} + 64 x - y + 201 = 0

Lösung

(h, k) = (- 8, \frac{1}{2}), a = \frac{221}{4}, b = \frac{221}{2}

Schritte zur Lösung

4 x^{2} + y^{2} + 64 x - y + 201 = 0

Rewrite

4 x^{2} + y^{2} + 64 x - y + 201 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 8 ) ) ^{2}}{( \frac{221}{4} ) ^{2}} + \frac{( y - \frac{1}{2} ) ^{2}}{( \frac{221}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 8, \frac{1}{2}), a = \frac{221}{4}, b = \frac{221}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 8, \frac{1}{2}), b = \frac{221}{2}, a = \frac{221}{4}

Graph

Beliebte Beispiele

5x^2+25y^2-125=0

5 x^{2} + 25 y^{2} - 125 = 0

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

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

- x^{2} - 2 y^{2} = 1

4 x^{2} + 7 y^{2} \leq 2