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Beliebt Geometry >

x^2-y^2-5x-20y+25=0

Lösung

x^{2} - y^{2} - 5 x - 20 y + 25 = 0

Lösung

(h, k) = (\frac{5}{2}, - 10), a = \frac{5 19}{2}, b = \frac{5 19}{2}

Schritte zur Lösung

x^{2} - y^{2} - 5 x - 20 y + 25 = 0

Rewrite

x^{2} - y^{2} - 5 x - 20 y + 25 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 10 ) ) ^{2}}{( \frac{5 19}{2} ) ^{2}} - \frac{( x - \frac{5}{2} ) ^{2}}{( \frac{5 19}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{5}{2}, - 10), a = \frac{5 19}{2}, b = \frac{5 19}{2}

Graph

Beliebte Beispiele

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

96+32x+16x^2-16y^2=0

96 + 32 x + 16 x^{2} - 16 y^{2} = 0

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- 4 x^{2} + y^{2} - 16 x - 52 = 0

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(x^2)/(49)-(y^2)/(81)=1

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