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Beliebt Geometry >

16x^2+y^2+96x-10y=-153

Lösung

16 x^{2} + y^{2} + 96 x - 10 y = - 153

Lösung

(h, k) = (- 3, 5), a = 1, b = 4

Schritte zur Lösung

16 x^{2} + y^{2} + 96 x - 10 y = - 153

Rewrite

16 x^{2} + y^{2} + 96 x - 10 y = - 153

in the form of the standard ellipse equation

\frac{( x - ( - 3 ) ) ^{2}}{1 ^{2}} + \frac{( y - 5 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 3, 5), a = 1, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 3, 5), b = 4, a = 1

Graph

Beliebte Beispiele

x^2+y^2-25=(x+25)/7-y

x^{2} + y^{2} - 25 = \frac{x + 25}{7} - y

((x-4)^2)/9+((y-2)^2)/(25)=1

\frac{( x - 4 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{25} = 1

(x^2)/(1.587^2)+(y^2)/(0.99^2)=1

\frac{x ^{2}}{1.58 7 ^{2}} + \frac{y ^{2}}{0.9 9 ^{2}} = 1

4x^2+9y^2-144=0

4 x^{2} + 9 y^{2} - 144 = 0

3 x^{2} + 2 y^{2} - 8 = 0