((y-9)^2)/(45)-((x+3)^2)/(45/2)=1

Lösung

\frac{( y - 9 ) ^{2}}{45} - \frac{( x + 3 ) ^{2}}{\frac{45}{2}} = 1

(h, k) = (- 3, 9), a = 35, b = \frac{3 5}{2}

Schritte zur Lösung

\frac{( y - 9 ) ^{2}}{45} - \frac{( x + 3 ) ^{2}}{\frac{45}{2}} = 1

Rewrite

\frac{( y - 9 ) ^{2}}{45} - \frac{( x + 3 ) ^{2}}{\frac{45}{2}} = 1

in the form of a standard hyperbola equation

\frac{( y - 9 ) ^{2}}{( 3 5 ) ^{2}} - \frac{( x - ( - 3 ) ) ^{2}}{( \frac{3 5}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 3, 9), a = 35, b = \frac{3 5}{2}

y^{(2)} - x^{(2)} = 100

4 x^{2} - 9 y^{2} - 36 y = 72

3 x^{2} + 2 x - 3 y^{2} + 14 y = - 24

so l v e f or x, K (x)^{2} = 4 (128 x + x^{2})

\frac{( x - 1 ) ^{2}}{9} - \frac{( y - 5 ) ^{2}}{16} = 1