vertices 9x^2-4y^2-90x-32y=-305

الحلّ

vertices

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

(5, 2), (5, - 10)

خطوات الحلّ

(h, k + a), (h, k - a)

Calculate Hyperbola properties

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305 :

Up-down Hyperbola with

(h, k) = (5, - 4), a = 6, b = 4

(5, - 4 + 6), (5, - 4 - 6)

بسّط

(5, 2), (5, - 10)

f (x) = 3 x^{2} - 6 x + 4

16 x^{2} - 9 y^{2} = 144

y^{2} = 8 x

\frac{( x - 2 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

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