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Beliebt Geometry >

x^2-25y^2-4x+75y-27=0

Lösung

x^{2} - 25 y^{2} - 4 x + 75 y - 27 = 0

Lösung

(h, k) = (2, \frac{3}{2}), a = \frac{101}{10}, b = \frac{101}{2}

Schritte zur Lösung

x^{2} - 25 y^{2} - 4 x + 75 y - 27 = 0

Rewrite

x^{2} - 25 y^{2} - 4 x + 75 y - 27 = 0

in the form of a standard hyperbola equation

\frac{( y - \frac{3}{2} ) ^{2}}{( \frac{101}{10} ) ^{2}} - \frac{( x - 2 ) ^{2}}{( \frac{101}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, \frac{3}{2}), a = \frac{101}{10}, b = \frac{101}{2}

Graph

Beliebte Beispiele

36 x^{2} - 4 y^{2} = 144

(y^2)/(36)-(x^2)/(49)=1

\frac{y ^{2}}{36} - \frac{x ^{2}}{49} = 1

((x+2)^2)/(64)-((y-3)^2)/(36)=1

\frac{( x + 2 ) ^{2}}{64} - \frac{( y - 3 ) ^{2}}{36} = 1

a^{2} + b^{2} i^{2} = 9

8x^2-2y^2-16x-16y-32=0

8 x^{2} - 2 y^{2} - 16 x - 16 y - 32 = 0