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Beliebt Geometry >

4x^2+9y^2=25

Lösung

4 x^{2} + 9 y^{2} = 25

Lösung

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

Schritte zur Lösung

4 x^{2} + 9 y^{2} = 25

Rewrite

4 x^{2} + 9 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}

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

9 x^{2} + 49 y^{2} = 441

(x^2)/8+(y^2)/4 =1

\frac{x ^{2}}{8} + \frac{y ^{2}}{4} = 1

(x^2)/(36)+(y^2)/(11)=1

\frac{x ^{2}}{36} + \frac{y ^{2}}{11} = 1

((x-4)^2)/4+((y-3)^2)/9 =1

\frac{( x - 4 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{9} = 1

4x^2+9y^2-40x-54y+145=0

4 x^{2} + 9 y^{2} - 40 x - 54 y + 145 = 0