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Beliebt Geometry >

8x^2+y^2=10

Lösung

8 x^{2} + y^{2} = 10

Lösung

(h, k) = (0, 0), a = \frac{5}{2}, b = 10

Schritte zur Lösung

8 x^{2} + y^{2} = 10

Rewrite

8 x^{2} + y^{2} = 10

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{5}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 10 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{5}{2}, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 10, a = \frac{5}{2}

Graph

Beliebte Beispiele

4 x^{2} + 7 y^{2} = 8

49 x^{2} + 64 y^{2} = 25

-2x^2-8x-y^2+16y=52

- 2 x^{2} - 8 x - y^{2} + 16 y = 52

9x^2+4y^2-90x+32y+145=0

9 x^{2} + 4 y^{2} - 90 x + 32 y + 145 = 0

((x-2.22)^2)/(2.54)+(y^2)/(1.11)=2

\frac{( x - 2.22 ) ^{2}}{2.54} + \frac{y ^{2}}{1.11} = 2