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Beliebt Geometry >

4x^2-5y^2-24y-16=0

Lösung

4 x^{2} - 5 y^{2} - 24 y - 16 = 0

Lösung

(h, k) = (0, - \frac{12}{5}), a = \frac{8}{5}, b = \frac{4}{5}

Schritte zur Lösung

4 x^{2} - 5 y^{2} - 24 y - 16 = 0

Rewrite

4 x^{2} - 5 y^{2} - 24 y - 16 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{12}{5} ) ) ^{2}}{( \frac{8}{5} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{4}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, - \frac{12}{5}), a = \frac{8}{5}, b = \frac{4}{5}

Graph

Beliebte Beispiele

- 3 x^{2} + y^{2} - 12 = 0

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

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

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

(v^2)/2 =2s^2-0.02

\frac{v ^{2}}{2} = 2 s^{2} - 0.02

4 x^{2} - 9 y^{2} = 144