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Beliebt Geometry >

4x^2-y^2+16x+2y=21

Lösung

4 x^{2} - y^{2} + 16 x + 2 y = 21

Lösung

(h, k) = (- 2, 1), a = 3, b = 6

Schritte zur Lösung

4 x^{2} - y^{2} + 16 x + 2 y = 21

Rewrite

4 x^{2} - y^{2} + 16 x + 2 y = 21

in the form of a standard hyperbola equation

\frac{( x - ( - 2 ) ) ^{2}}{3 ^{2}} - \frac{( y - 1 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 1), a = 3, b = 6

Graph

Beliebte Beispiele

9x^2-4y^2+36x+40y-208=0

9 x^{2} - 4 y^{2} + 36 x + 40 y - 208 = 0

x^2-5y^2+10y+4x-37=0

x^{2} - 5 y^{2} + 10 y + 4 x - 37 = 0

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

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

a^{2} - b^{2} = 14

a^{2} - b^{2} = 42