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Beliebt Geometry >

9x^2-16y^2+144x+32y+79=0

Lösung

9 x^{2} - 16 y^{2} + 144 x + 32 y + 79 = 0

Lösung

(h, k) = (- 8, 1), a = \frac{481}{3}, b = \frac{481}{4}

Schritte zur Lösung

9 x^{2} - 16 y^{2} + 144 x + 32 y + 79 = 0

Rewrite

9 x^{2} - 16 y^{2} + 144 x + 32 y + 79 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 8 ) ) ^{2}}{( \frac{481}{3} ) ^{2}} - \frac{( y - 1 ) ^{2}}{( \frac{481}{4} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 8, 1), a = \frac{481}{3}, b = \frac{481}{4}

Graph

Beliebte Beispiele

0=y^2-y-(x^2)/4+24

0 = y^{2} - y - \frac{x ^{2}}{4} + 24

4x^2-9y^2-16x+36y+16=0

4 x^{2} - 9 y^{2} - 16 x + 36 y + 16 = 0

(x^2}{16}-\frac{y^2)/7 =1

\frac{x ^{2}}{16} - \frac{y ^{2}}{7} = 1

(x^2)/(64)-(y^2)/(81)=1

\frac{x ^{2}}{64} - \frac{y ^{2}}{81} = 1

(x^2-4x+4)-(y^2-6y+9)=9

(x^{2} - 4 x + 4) - (y^{2} - 6 y + 9) = 9