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Beliebt Geometry >

4x^2+y^2+2y-15=0

Lösung

4 x^{2} + y^{2} + 2 y - 15 = 0

Lösung

(h, k) = (0, - 1), a = 2, b = 4

Schritte zur Lösung

4 x^{2} + y^{2} + 2 y - 15 = 0

Rewrite

4 x^{2} + y^{2} + 2 y - 15 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, - 1), a = 2, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, - 1), b = 4, a = 2

Graph

Beliebte Beispiele

9x^2+49y^2+18x+294y-9=0

9 x^{2} + 49 y^{2} + 18 x + 294 y - 9 = 0

(x^2)/(4^2)+(y^2)/(7^2)=1

\frac{x ^{2}}{4 ^{2}} + \frac{y ^{2}}{7 ^{2}} = 1

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x^2+4y^2-16y-1=-1

x^{2} + 4 y^{2} - 16 y - 1 = - 1