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Beliebt Geometry >

-9x^2+25y^2-72x-144-100y=0

Lösung

- 9 x^{2} + 25 y^{2} - 72 x - 144 - 100 y = 0

Lösung

(h, k) = (- 4, 2), a = 2, b = \frac{10}{3}

Schritte zur Lösung

- 9 x^{2} + 25 y^{2} - 72 x - 144 - 100 y = 0

Rewrite

- 9 x^{2} + 25 y^{2} - 72 x - 144 - 100 y = 0

in the form of a standard hyperbola equation

\frac{( y - 2 ) ^{2}}{2 ^{2}} - \frac{( x - ( - 4 ) ) ^{2}}{( \frac{10}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 4, 2), a = 2, b = \frac{10}{3}

Graph

Beliebte Beispiele

((y-5)^2)/(25)-(x-2)^2=1

\frac{( y - 5 ) ^{2}}{25} - (x - 2)^{2} = 1

((x+1)^2)/9-((y+2)^2)/4 =1

\frac{( x + 1 ) ^{2}}{9} - \frac{( y + 2 ) ^{2}}{4} = 1

x^2-1/3 y^2=x+y

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

x^{2} - y^{2} + 1 = 0

solvefor x,x^2-48x+640=m(x)^2

so l v e f or x, x^{2} - 48 x + 640 = m (x)^{2}