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Beliebt Geometry >

center 4x^2-9y^2+3x+18y+91=0

Lösung

center

4 x^{2} - 9 y^{2} + 3 x + 18 y + 91 = 0

Lösung

(- \frac{3}{8}, 1)

Schritte zur Lösung

4 x^{2} - 9 y^{2} + 3 x + 18 y + 91 = 0

Rewrite

4 x^{2} - 9 y^{2} + 3 x + 18 y + 91 = 0

in the form of a standard hyperbola equation

\frac{( y - 1 ) ^{2}}{( \frac{1591}{12} ) ^{2}} - \frac{( x - ( - \frac{3}{8} ) ) ^{2}}{( \frac{1591}{8} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{3}{8}, 1), a = \frac{1591}{12}, b = \frac{1591}{8}

And the center is:

(- \frac{3}{8}, 1)

Graph

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