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Beliebt Geometry >

4x^2+2y^2=19

Lösung

4 x^{2} + 2 y^{2} = 19

Lösung

(h, k) = (0, 0), a = \frac{19}{2}, b = \frac{19}{2}

Schritte zur Lösung

4 x^{2} + 2 y^{2} = 19

Rewrite

4 x^{2} + 2 y^{2} = 19

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{19}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{19}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{19}{2}, b = \frac{19}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{19}{2}, a = \frac{19}{2}

Graph

Beliebte Beispiele

4x^2+16x+16y^2-32y-32=0

4 x^{2} + 16 x + 16 y^{2} - 32 y - 32 = 0

((x-4)^2)/(5^2)+((y-7)^2)/(3^2)=1

\frac{( x - 4 ) ^{2}}{5 ^{2}} + \frac{( y - 7 ) ^{2}}{3 ^{2}} = 1

9x^2+25y^2+18x-50y=191

9 x^{2} + 25 y^{2} + 18 x - 50 y = 191

9x^2+4y^2-72x-16y+124=0

9 x^{2} + 4 y^{2} - 72 x - 16 y + 124 = 0

8x^2+9y^2+24x+18y=10

8 x^{2} + 9 y^{2} + 24 x + 18 y = 10