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Beliebt Geometry >

4x^2-25y^2-8x-100y-196=0

Lösung

4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0

Lösung

(h, k) = (1, - 2), a = 5, b = 2

Schritte zur Lösung

4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0

Rewrite

4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = 5, b = 2

Graph

Beliebte Beispiele

-(x^2)/(25)+(y^2)/(144)=1

- \frac{x ^{2}}{25} + \frac{y ^{2}}{144} = 1

y^{2} - 2 x^{2} - 4 = 0

9x^2-16y^2-18x+32y-151=0

9 x^{2} - 16 y^{2} - 18 x + 32 y - 151 = 0

((y+3)^2)/4-((x-2)^2)/9 =1

\frac{( y + 3 ) ^{2}}{4} - \frac{( x - 2 ) ^{2}}{9} = 1

8x^2-5y^2+10x+4=0

8 x^{2} - 5 y^{2} + 10 x + 4 = 0