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Beliebt Geometry >

4a^2+9b^2=25

Lösung

4 a^{2} + 9 b^{2} = 25

Lösung

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

Schritte zur Lösung

4 a^{2} + 9 b^{2} = 25

Rewrite

4 a^{2} + 9 b^{2} = 25

in the form of the standard ellipse equation

\frac{( a - 0 ) ^{2}}{( \frac{5}{2} ) ^{2}} + \frac{( b - 0 ) ^{2}}{( \frac{5}{3} ) ^{2}} = 1

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

3x^2+3y^2+48y=0

3 x^{2} + 3 y^{2} + 48 y = 0

25x^{(2)}+4y^{(2)}=99

25 x^{(2)} + 4 y^{(2)} = 99

3x^2-9x+2y^2+10y-6=0

3 x^{2} - 9 x + 2 y^{2} + 10 y - 6 = 0

x^2+y^2=10-x^2-2y^2

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

- \frac{x ^{2}}{9} - y^{2} = 1