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Beliebt Geometry >

((x-5)^2)/4-((y+1)^2)/(49)=1

Lösung

\frac{( x - 5 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{49} = 1

Lösung

(h, k) = (5, - 1), a = 2, b = 7

Schritte zur Lösung

\frac{( x - 5 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{49} = 1

Rewrite

\frac{( x - 5 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{49} = 1

in the form of a standard hyperbola equation

\frac{( x - 5 ) ^{2}}{2 ^{2}} - \frac{( y - ( - 1 ) ) ^{2}}{7 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, - 1), a = 2, b = 7

Graph

Beliebte Beispiele

4(y-3)^2-9(x-2)^2=36

4 (y - 3)^{2} - 9 (x - 2)^{2} = 36

36x^2-y^2-216x+10y+263=0

36 x^{2} - y^{2} - 216 x + 10 y + 263 = 0

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

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

9x^2-4y^2-36x+8y-4=0

9 x^{2} - 4 y^{2} - 36 x + 8 y - 4 = 0

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