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Beliebt Geometry >

(x^2)/(a^2)+(y^2)/((a-16))=1

Lösung

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

Lösung

(h, k) = (0, 0), a = a, b = a - 16

Schritte zur Lösung

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{a - 16} = 1

Rewrite

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{a - 16} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = a, b = a - 16

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = a, b = a - 16

Beliebte Beispiele

11x^2+13y^2-143=0

x^2+3y^2-12y+9=0

4x^2+9y^2-40x+36y+100=0

((x-42)^2)/(12)+((y-20)^2)/(27)=1