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Beliebt Geometry >

9x^2-4y^2-72x+8y+17=0

Lösung

9 x^{2} - 4 y^{2} - 72 x + 8 y + 17 = 0

Lösung

(h, k) = (4, 1), a = \frac{41}{3}, b = \frac{123}{2}

Schritte zur Lösung

9 x^{2} - 4 y^{2} - 72 x + 8 y + 17 = 0

Rewrite

9 x^{2} - 4 y^{2} - 72 x + 8 y + 17 = 0

in the form of a standard hyperbola equation

\frac{( x - 4 ) ^{2}}{( \frac{41}{3} ) ^{2}} - \frac{( y - 1 ) ^{2}}{( \frac{123}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, 1), a = \frac{41}{3}, b = \frac{123}{2}

Graph

Beliebte Beispiele

a^{2} - b^{2} = 300

a^{2} + 1 5^{2} = c^{2}

9x^2-72x-16y^2-32y=16

9 x^{2} - 72 x - 16 y^{2} - 32 y = 16

16x^2-y^2+16y-128=0

16 x^{2} - y^{2} + 16 y - 128 = 0

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

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