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Beliebt Geometry >

x/(x^2+y^2)= 3/4

Lösung

\frac{x}{x ^{2} + y ^{2}} = \frac{3}{4}

Lösung

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

Schritte zur Lösung

\frac{x}{x ^{2} + y ^{2}} = \frac{3}{4}

Rewrite

\frac{x}{x ^{2} + y ^{2}} = \frac{3}{4}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

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

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

36X^2+25Y^2=900

36 X^{2} + 25 Y^{2} = 900

1x^2+3y^2+8x+9y-14=0

1 x^{2} + 3 y^{2} + 8 x + 9 y - 14 = 0

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

9x^2+18x+25y^2-100y=116

9 x^{2} + 18 x + 25 y^{2} - 100 y = 116