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Beliebt Geometry >

16x^2-96x+4y^2=-80

Lösung

16 x^{2} - 96 x + 4 y^{2} = - 80

Lösung

(h, k) = (3, 0), a = 2, b = 4

Schritte zur Lösung

16 x^{2} - 96 x + 4 y^{2} = - 80

Rewrite

16 x^{2} - 96 x + 4 y^{2} = - 80

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{2 ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, 0), a = 2, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, 0), b = 4, a = 2

Graph

Beliebte Beispiele

100x^2+36y^2=225

100 x^{2} + 36 y^{2} = 225

x^2-10x+5y^2+30y=-50

x^{2} - 10 x + 5 y^{2} + 30 y = - 50

x^2+9y^2+6y-3=0

x^{2} + 9 y^{2} + 6 y - 3 = 0

3 x^{2} + y^{2} = 4

((x-1)^2}{16}+\frac{(y-0)^2)/9 =1

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 0 ) ^{2}}{9} = 1