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Beliebt Geometry >

8y^2+3y-9=8x^2+9x-3

Lösung

8 y^{2} + 3 y - 9 = 8 x^{2} + 9 x - 3

Lösung

(h, k) = (- \frac{9}{16}, - \frac{3}{16}), a = \frac{15}{4 2}, b = \frac{15}{4 2}

Schritte zur Lösung

8 y^{2} + 3 y - 9 = 8 x^{2} + 9 x - 3

Rewrite

8 y^{2} + 3 y - 9 - 8 x^{2} - 9 x + 3 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{3}{16} ) ) ^{2}}{( \frac{15}{4 2} ) ^{2}} - \frac{( x - ( - \frac{9}{16} ) ) ^{2}}{( \frac{15}{4 2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{9}{16}, - \frac{3}{16}), a = \frac{15}{4 2}, b = \frac{15}{4 2}

Graph

Beliebte Beispiele

(y^2)/6-(x^2)/9 =1

\frac{y ^{2}}{6} - \frac{x ^{2}}{9} = 1

y^{2} = 2 x^{2} + 1

x^{2} - y^{2} = ey

x^{2} - 9 y^{2} + 9 = 0

f(x)(x)^{-1}f(x)=5x-3

f (x) (x)^{- 1} f (x) = 5 x - 3