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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (\frac{1}{4}, \frac{1}{2}), a = \frac{3}{4}, b = \frac{3}{2 2}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (\frac{1}{4}, \frac{1}{2}), a = \frac{3}{4}, b = \frac{3}{2 2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (\frac{1}{4}, \frac{1}{2}), b = \frac{3}{2 2}, a = \frac{3}{4}

Graph

Beliebte Beispiele

64 x^{2} + 81 y^{2} = 81

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

(x)^2+((y-6)^2)/(12)=1

(x)^{2} + \frac{( y - 6 ) ^{2}}{12} = 1

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

\frac{x ^{2}}{3} + \frac{y ^{2}}{4} = 1

((X-5)^2)/(25)+((y+7)^2)/(16)=1

\frac{( X - 5 ) ^{2}}{25} + \frac{( y + 7 ) ^{2}}{16} = 1