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Beliebt Geometry >

4x^2+3y^2=25

Lösung

4 x^{2} + 3 y^{2} = 25

Lösung

(h, k) = (0, 0), a = \frac{5}{2}, b = \frac{5}{3}

Schritte zur Lösung

4 x^{2} + 3 y^{2} = 25

Rewrite

4 x^{2} + 3 y^{2} = 25

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{5}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{5}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{5}{2}, b = \frac{5}{3}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{5}{3}, a = \frac{5}{2}

Graph

Beliebte Beispiele

9 x^{2} + 8 y^{2} = 3

2x^2+8y^2-128=0

2 x^{2} + 8 y^{2} - 128 = 0

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

25x^2+9y^2-150x-36y+36=0

25 x^{2} + 9 y^{2} - 150 x - 36 y + 36 = 0

100y^2+64x^2=6400

100 y^{2} + 64 x^{2} = 6400