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Beliebt Geometry >

4x^2-5y^2+32x+30y=1

Lösung

4 x^{2} - 5 y^{2} + 32 x + 30 y = 1

Lösung

(h, k) = (- 4, 3), a = 5, b = 2

Schritte zur Lösung

4 x^{2} - 5 y^{2} + 32 x + 30 y = 1

Rewrite

4 x^{2} - 5 y^{2} + 32 x + 30 y = 1

in the form of a standard hyperbola equation

\frac{( x - ( - 4 ) ) ^{2}}{( 5 ) ^{2}} - \frac{( y - 3 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 4, 3), a = 5, b = 2

Graph

Beliebte Beispiele

3y^2-5x^2+18y-40x-533=0

3 y^{2} - 5 x^{2} + 18 y - 40 x - 533 = 0

((y-3)^2)/9-((x+1)^2)/(27)=1

\frac{( y - 3 ) ^{2}}{9} - \frac{( x + 1 ) ^{2}}{27} = 1

y^2-4x^2-2y+24x=51

y^{2} - 4 x^{2} - 2 y + 24 x = 51

((x-1)^2)/(36)-((y+2)^2)/(25)=1

\frac{( x - 1 ) ^{2}}{36} - \frac{( y + 2 ) ^{2}}{25} = 1

(x^2)/(30^2)-(y^2)/(44^2)=1

\frac{x ^{2}}{3 0 ^{2}} - \frac{y ^{2}}{4 4 ^{2}} = 1