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Beliebt Geometry >

16x^2+96x+25y^2+100y-156=0

Lösung

16 x^{2} + 96 x + 25 y^{2} + 100 y - 156 = 0

Lösung

(h, k) = (- 3, - 2), a = 5, b = 4

Schritte zur Lösung

16 x^{2} + 96 x + 25 y^{2} + 100 y - 156 = 0

Rewrite

16 x^{2} + 96 x + 25 y^{2} + 100 y - 156 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 3, - 2), a = 5, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 3, - 2), a = 5, b = 4

Graph

Beliebte Beispiele

3x^2-6x+y^2+4y-2=0

3 x^{2} - 6 x + y^{2} + 4 y - 2 = 0

(x^2)/(36)+(y^2)/(81)=1

\frac{x ^{2}}{36} + \frac{y ^{2}}{81} = 1

4x^2+25y^2-40x+150y+225=0

4 x^{2} + 25 y^{2} - 40 x + 150 y + 225 = 0

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

(x^2)/9+(y^2)/1 =1

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