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Convert equation to standard Ellipse or Hyperbola form

@parmu

Consider the following conic section: -9x^2 + 18x + 16y^2 - 153 = 0 Use algebra to put this equation into a standard ellipse or hyperbola form.

Reward: 5000 sats
Answers

Y^2/9-(x-1)^2/16=1

@Carlbrave

16 y^2 - 9 ((x - 2) x + 17) = 0

@M1212

16 y^2 - 9 ((x - 2) x + 17) = 0

@redcodefinal

-9x^2 + 18x + 16y^2 - 153 = 0 -9x^2 + 18x + 16y^2 = 153 -9(x^2 - 2x) + 16y^2 = 153 (x^2 - 2x) - 16/9(y^2) = -17 1/16(x^2 - 2x) - 1/9(y^2) = -17/16 1/16(x^2 - 2x + 1) - 1/9(y^2) = -17/16 + 1/16 1/16(x^2 - 2x + 1) - 1/9(y^2) = -1 -1/16(x^2 - 2x + 1) + 1/9(y^2) = 1 -(x - 1)^2/16 + (y)^2/9 = 1

@Supersonic3974

Delta8=-72(8 y2 -81)

@2189106454

hyperbola: 49 = 0.

@2189106454