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Beliebt Geometry >

4y^2-2x^2+24y-8x-9=0

Lösung

4 y^{2} - 2 x^{2} + 24 y - 8 x - 9 = 0

Lösung

(h, k) = (- 2, - 3), a = \frac{37}{2}, b = \frac{37}{2}

Schritte zur Lösung

4 y^{2} - 2 x^{2} + 24 y - 8 x - 9 = 0

Rewrite

4 y^{2} - 2 x^{2} + 24 y - 8 x - 9 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 3 ) ) ^{2}}{( \frac{37}{2} ) ^{2}} - \frac{( x - ( - 2 ) ) ^{2}}{( \frac{37}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, - 3), a = \frac{37}{2}, b = \frac{37}{2}

Graph

Beliebte Beispiele

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

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

7p-p^2=9p+q^2-16-5q^2+6

7 p - p^{2} = 9 p + q^{2} - 16 - 5 q^{2} + 6

x^{2} - y^{2} < 8

9 y^{2} - 16 x^{2} = 1

4x^2-16y^2-10x+21y-27=0

4 x^{2} - 16 y^{2} - 10 x + 21 y - 27 = 0