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Beliebt Geometry >

x^2+9y^2=5

Lösung

x^{2} + 9 y^{2} = 5

Lösung

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

Schritte zur Lösung

x^{2} + 9 y^{2} = 5

Rewrite

x^{2} + 9 y^{2} = 5

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

Graph

Beliebte Beispiele

9x^2+16y^2+18x-135=0

9 x^{2} + 16 y^{2} + 18 x - 135 = 0

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

x^{2} + 9 y^{2} < 9

3X^2+4Y^2+12X-8Y+9=0

3 X^{2} + 4 Y^{2} + 12 X - 8 Y + 9 = 0

((x+2)^2)/4+((y-3)^2)/(16)=1

\frac{( x + 2 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{16} = 1