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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{3}{2}, - 2), a = \frac{3 5}{2}, b = \frac{3 5}{2 2}

Graph

Beliebte Beispiele

7 x^{2} = 35 - 5 y^{2}

4 x^{2} + 3 y^{2} = 25

9 x^{2} + 8 y^{2} = 3

2x^2+8y^2-128=0

2 x^{2} + 8 y^{2} - 128 = 0

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