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Beliebt Geometry >

((x-5)^2)/4-((y-3)^2)/4 =1

Lösung

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

Lösung

(h, k) = (5, 3), a = 2, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (5, 3), a = 2, b = 2

Graph

Beliebte Beispiele

x^2-4y^2+2x-16y+13=0

x^{2} - 4 y^{2} + 2 x - 16 y + 13 = 0

(x-1)^2-(y-10)^2=-40

(x - 1)^{2} - (y - 10)^{2} = - 40

((y+9)^2}{49}-\frac{(x-1)^2)/9 =1

\frac{( y + 9 ) ^{2}}{49} - \frac{( x - 1 ) ^{2}}{9} = 1

y^{2} + 7 = x^{2} - 8

((a^2+b^2))/2-2(a^2-b^2)=-15

\frac{( a ^{2} + b ^{2} )}{2} - 2 (a^{2} - b^{2}) = - 15