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Beliebt Geometry >

a^2+2b^2=1

Lösung

a^{2} + 2 b^{2} = 1

Lösung

(h, k) = (0, 0), a = 1, b = \frac{1}{2}

Schritte zur Lösung

a^{2} + 2 b^{2} = 1

Rewrite

a^{2} + 2 b^{2} = 1

in the form of the standard ellipse equation

\frac{( a - 0 ) ^{2}}{1 ^{2}} + \frac{( b - 0 ) ^{2}}{( \frac{1}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = \frac{1}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 1, b = \frac{1}{2}

Graph

Beliebte Beispiele

-25x^2-4y^2+100=4

- 25 x^{2} - 4 y^{2} + 100 = 4

((x-6)^2)/(36)+((y+2)^2)/(100)=1

\frac{( x - 6 ) ^{2}}{36} + \frac{( y + 2 ) ^{2}}{100} = 1

9x^2-72x+4y^2+40y+244=36

9 x^{2} - 72 x + 4 y^{2} + 40 y + 244 = 36

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

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

3x^2+4y^2+6x-8y-5=0

3 x^{2} + 4 y^{2} + 6 x - 8 y - 5 = 0