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Beliebt Geometry >

9x^{(2)}+16y^{(2)}-54x+64y+1=0

Lösung

9 x^{(2)} + 16 y^{(2)} - 54 x + 64 y + 1 = 0

Lösung

(h, k) = (3, - 2), a = 4, b = 3

Schritte zur Lösung

9 x^{2} + 16 y^{2} - 54 x + 64 y + 1 = 0

Rewrite

9 x^{2} + 16 y^{2} - 54 x + 64 y + 1 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, - 2), a = 4, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, - 2), a = 4, b = 3

Graph

Beliebte Beispiele

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

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

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4(x+1)^2+3(y-1)^2=48

4 (x + 1)^{2} + 3 (y - 1)^{2} = 48