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Beliebt Geometry >

4x^2+y^2=10

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

4 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} + y^{2} = 25

\frac{y ^{2}}{9} + z^{2} = 1

2x^2+2y^2-40y=0

2 x^{2} + 2 y^{2} - 40 y = 0

(x^2+y^2-x)/(2x-x^2-y^2)>= 0

\frac{x ^{2} + y ^{2} - x}{2 x - x ^{2} - y ^{2}} \geq 0

4x^2+y^2-16x+6y-75=0

4 x^{2} + y^{2} - 16 x + 6 y - 75 = 0