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Beliebt Geometry >

4x^2+16y^2-64=0

Lösung

4 x^{2} + 16 y^{2} - 64 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + 16 y^{2} - 64 = 0

Rewrite

4 x^{2} + 16 y^{2} - 64 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

(x^2)/(12)+(y^2)/(80)=1

\frac{x ^{2}}{12} + \frac{y ^{2}}{80} = 1

4 x^{2} + 9 y^{2} = 25

9 x^{2} + 49 y^{2} = 441

(x^2)/8+(y^2)/4 =1

\frac{x ^{2}}{8} + \frac{y ^{2}}{4} = 1

(x^2)/(36)+(y^2)/(11)=1

\frac{x ^{2}}{36} + \frac{y ^{2}}{11} = 1