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Beliebt Geometry >

-4x^2+8y^2+10x-6y-8=0

Lösung

- 4 x^{2} + 8 y^{2} + 10 x - 6 y - 8 = 0

Lösung

(h, k) = (\frac{5}{4}, \frac{3}{8}), a = \frac{23}{8}, b = \frac{23}{4 2}

Schritte zur Lösung

- 4 x^{2} + 8 y^{2} + 10 x - 6 y - 8 = 0

Rewrite

- 4 x^{2} + 8 y^{2} + 10 x - 6 y - 8 = 0

in the form of a standard hyperbola equation

\frac{( y - \frac{3}{8} ) ^{2}}{( \frac{23}{8} ) ^{2}} - \frac{( x - \frac{5}{4} ) ^{2}}{( \frac{23}{4 2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{5}{4}, \frac{3}{8}), a = \frac{23}{8}, b = \frac{23}{4 2}

Graph

Beliebte Beispiele

-8x^2+4y^2+10x-6y-8=0

- 8 x^{2} + 4 y^{2} + 10 x - 6 y - 8 = 0

((x+2)^2)/9-((y-1)^2)/(16)=1

\frac{( x + 2 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{16} = 1

16x^2-9y^2-64x-18y+199=0

16 x^{2} - 9 y^{2} - 64 x - 18 y + 199 = 0

4 x^{2} - 8 y^{2} = 3

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