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Beliebt Geometry >

4x^2-16x-y^2-6y+3=0

Lösung

4 x^{2} - 16 x - y^{2} - 6 y + 3 = 0

Lösung

(h, k) = (2, - 3), a = 1, b = 2

Schritte zur Lösung

4 x^{2} - 16 x - y^{2} - 6 y + 3 = 0

Rewrite

4 x^{2} - 16 x - y^{2} - 6 y + 3 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, - 3), a = 1, b = 2

Graph

Beliebte Beispiele

(((x+2)^2}{16})-(\frac{(y-1)^2)/9)=1

(\frac{( x + 2 ) ^{2}}{16}) - (\frac{( y - 1 ) ^{2}}{9}) = 1

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

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

((x+1)/(25))^2-((y-4)/(144))^2=1

(\frac{x + 1}{25})^{2} - (\frac{y - 4}{144})^{2} = 1

(x^2)/(64)-(y^2)/(100)=1

\frac{x ^{2}}{64} - \frac{y ^{2}}{100} = 1

y^{2} - x^{2} = 100