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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Beliebte Beispiele

9x^2+16y^2-90x-160y+481=0

9 x^{2} + 16 y^{2} - 90 x - 160 y + 481 = 0

16 x^{2} + 49 y^{2} = 25

18x^2+4y^2+4y-72x+37=0

18 x^{2} + 4 y^{2} + 4 y - 72 x + 37 = 0

x^2-2x+2y^2-8y+7=0

x^{2} - 2 x + 2 y^{2} - 8 y + 7 = 0

25x^2+9y^2-150x-36y=-36

25 x^{2} + 9 y^{2} - 150 x - 36 y = - 36