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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (2, 1), a = 3, b = 23

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 1), a = 3, b = 23

Graph

Beliebte Beispiele

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

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

x^2-y^2-3x+5y-16=0

x^{2} - y^{2} - 3 x + 5 y - 16 = 0

x^2-9y^2-10x+36y-2=0

x^{2} - 9 y^{2} - 10 x + 36 y - 2 = 0

(y-2)^2-4(x+2)^2=4

(y - 2)^{2} - 4 (x + 2)^{2} = 4

((x-2)^2)/9-((y-1)^2)/(16)=1

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