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Beliebt Geometry >

center 9x^2-16y^2-36x+96y+252=0

Lösung

center

9 x^{2} - 16 y^{2} - 36 x + 96 y + 252 = 0

Lösung

(2, 3)

Schritte zur Lösung

9 x^{2} - 16 y^{2} - 36 x + 96 y + 252 = 0

Rewrite

9 x^{2} - 16 y^{2} - 36 x + 96 y + 252 = 0

in the form of a standard hyperbola equation

\frac{( y - 3 ) ^{2}}{( \frac{3 5}{2} ) ^{2}} - \frac{( x - 2 ) ^{2}}{( 2 10 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 3), a = \frac{3 5}{2}, b = 210

And the center is:

(2, 3)

Graph

Beliebte Beispiele

center 5y^2-16x^2+400=0

ce n t er 5 y^{2} - 16 x^{2} + 400 = 0

center 4x^2-9y^2-16x+18y-7=0

ce n t er 4 x^{2} - 9 y^{2} - 16 x + 18 y - 7 = 0

center x^2-y^2+6x+10y=2

ce n t er x^{2} - y^{2} + 6 x + 10 y = 2

center ((y-1)^2)/9-((x+3)^2)/(16)=1

ce n t er \frac{( y - 1 ) ^{2}}{9} - \frac{( x + 3 ) ^{2}}{16} = 1

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

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