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Beliebt Geometry >

9x^2-4y^2-72x+8y+176=0

Lösung

9 x^{2} - 4 y^{2} - 72 x + 8 y + 176 = 0

Lösung

(h, k) = (4, 1), a = 3, b = 2

Schritte zur Lösung

9 x^{2} - 4 y^{2} - 72 x + 8 y + 176 = 0

Rewrite

9 x^{2} - 4 y^{2} - 72 x + 8 y + 176 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (4, 1), a = 3, b = 2

Graph

Beliebte Beispiele

((y-k)^2)/(a^2)-((x-h)^2)/(b^2)=1

\frac{( y - k ) ^{2}}{a ^{2}} - \frac{( x - h ) ^{2}}{b ^{2}} = 1

solvefor x,(x-2)^2+(x-3)^2=r(x)^2

so l v e f or x, (x - 2)^{2} + (x - 3)^{2} = r (x)^{2}

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

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

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