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Beliebt Geometry >

16x^2-9y^2-256y+180x-452=0

Lösung

16 x^{2} - 9 y^{2} - 256 y + 180 x - 452 = 0

Lösung

(h, k) = (- \frac{45}{8}, - \frac{128}{9}), a = \frac{31039}{18}, b = \frac{31039}{24}

Schritte zur Lösung

16 x^{2} - 9 y^{2} - 256 y + 180 x - 452 = 0

Rewrite

16 x^{2} - 9 y^{2} - 256 y + 180 x - 452 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{128}{9} ) ) ^{2}}{( \frac{31039}{18} ) ^{2}} - \frac{( x - ( - \frac{45}{8} ) ) ^{2}}{( \frac{31039}{24} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{45}{8}, - \frac{128}{9}), a = \frac{31039}{18}, b = \frac{31039}{24}

Graph

Beliebte Beispiele

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

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

11x^2-25y^2+22x+250y-889=0

11 x^{2} - 25 y^{2} + 22 x + 250 y - 889 = 0

x^2+2x-100y^2-1000y+2401=0

x^{2} + 2 x - 100 y^{2} - 1000 y + 2401 = 0

9x^2-16y^2+72x+96y+144=0

9 x^{2} - 16 y^{2} + 72 x + 96 y + 144 = 0

(y^2)/(16)-(x^2)/(144)=1

\frac{y ^{2}}{16} - \frac{x ^{2}}{144} = 1