Hi

1) 9x^2+3x+10=16y^2+154+3x

  9x^2 -16y^2 = 144

   x^2/16 - y^2/9 = 1  C(0,0)

     C(3,5)

2)x^2+4y^2+6x-7=0

(x+3)^2 + 4y^2 = 16

(x+3)^2/16 + y^2/4 = 1   C(-3,0)

  C(0,5)

3)x^2-y^2+6x+10y=17

  (x+3)^2 -(y-5)^2 = 17 + 9 -25

  (x+3)^2 -(y-5)^2 = 1  C(-3,5)

Finish As Above 

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