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Beliebt Geometry >

center 9x^2-4y^2+54x+8y+78=0

Lösung

center

9 x^{2} - 4 y^{2} + 54 x + 8 y + 78 = 0

Lösung

(- 3, 1)

Schritte zur Lösung

9 x^{2} - 4 y^{2} + 54 x + 8 y + 78 = 0

Rewrite

9 x^{2} - 4 y^{2} + 54 x + 8 y + 78 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 3, 1), a = \frac{1}{2}, b = \frac{1}{3}

And the center is:

(- 3, 1)

Graph

Beliebte Beispiele

center x^2-y^2-4x+8y-21=0

ce n t er x^{2} - y^{2} - 4 x + 8 y - 21 = 0

center x^2-y^2=10(x-y)+1

ce n t er x^{2} - y^{2} = 10 (x - y) + 1

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

ce n t er 9 x^{2} - 16 y^{2} - 18 x + 64 y - 199 = 0

center 9x^2-16y^2-144=0

ce n t er 9 x^{2} - 16 y^{2} - 144 = 0

center x^2-(y^2)/(25)=1

ce n t er x^{2} - \frac{y ^{2}}{25} = 1