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Beliebt Geometry >

10x^2-7y^2-30x+14y=5

Lösung

10 x^{2} - 7 y^{2} - 30 x + 14 y = 5

Lösung

(h, k) = (\frac{3}{2}, 1), a = \frac{41}{2 5}, b = \frac{41}{14}

Schritte zur Lösung

10 x^{2} - 7 y^{2} - 30 x + 14 y = 5

Rewrite

10 x^{2} - 7 y^{2} - 30 x + 14 y = 5

in the form of a standard hyperbola equation

\frac{( x - \frac{3}{2} ) ^{2}}{( \frac{41}{2 5} ) ^{2}} - \frac{( y - 1 ) ^{2}}{( \frac{41}{14} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{3}{2}, 1), a = \frac{41}{2 5}, b = \frac{41}{14}

Graph

Beliebte Beispiele

25x^2-9y^2+100x-54y+10=0

25 x^{2} - 9 y^{2} + 100 x - 54 y + 10 = 0

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

9x^2+36=y^2+36x+6y

9 x^{2} + 36 = y^{2} + 36 x + 6 y

- 4 x^{2} + y^{2} = 36

25y^2-12x^2-48x-75y=0

25 y^{2} - 12 x^{2} - 48 x - 75 y = 0