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Beliebt Geometry >

8x+2y^2=3x^2+3y

Lösung

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

Lösung

(h, k) = (\frac{4}{3}, \frac{3}{4}), a = \frac{101}{6 2}, b = \frac{101}{4 3}

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - \frac{4}{3} ) ^{2}}{( \frac{101}{6 2} ) ^{2}} - \frac{( y - \frac{3}{4} ) ^{2}}{( \frac{101}{4 3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{4}{3}, \frac{3}{4}), a = \frac{101}{6 2}, b = \frac{101}{4 3}

Graph

Beliebte Beispiele

x^2-3y^2-8x-18y=14

x^{2} - 3 y^{2} - 8 x - 18 y = 14

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[f (x)]^{2} = 4 x^{2} - x + 3

2 x^{2} - 3 y^{2} - 6 = 0

((x-6)^2)/(48)-(y-2)^2=1

\frac{( x - 6 ) ^{2}}{48} - (y - 2)^{2} = 1

1680 = \frac{a}{b} a - b