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Beliebt Geometry >

(4x^2)/(25)+(9y^2)/(25)=1

Lösung

\frac{4 x ^{2}}{25} + \frac{9 y ^{2}}{25} = 1

Lösung

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

Schritte zur Lösung

\frac{4 x ^{2}}{25} + \frac{9 y ^{2}}{25} = 1

Rewrite

\frac{4 x ^{2}}{25} + \frac{9 y ^{2}}{25} = 1

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

((x-2)^2}{12}+\frac{(y+5)^2)/8 =1

\frac{( x - 2 ) ^{2}}{12} + \frac{( y + 5 ) ^{2}}{8} = 1

(y+2)^2=1-2(x+1)^2

(y + 2)^{2} = 1 - 2 (x + 1)^{2}

9x^2+36y^2+18x-360y+585=0

9 x^{2} + 36 y^{2} + 18 x - 360 y + 585 = 0

(x^2)/(49)+(y^2)/(24)=1

\frac{x ^{2}}{49} + \frac{y ^{2}}{24} = 1

16x^2+25y^2-64x-336=0

16 x^{2} + 25 y^{2} - 64 x - 336 = 0