SOLUTION: Transform the equation of the hyperbola from standard from into general form
(y^2)/36 - (x^2)/16 = 1
(9x^2) - (4y^2) + 144 = 0 is the answer
But I keep getting (-9x^2) +
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Question 1204696: Transform the equation of the hyperbola from standard from into general form
(y^2)/36 - (x^2)/16 = 1
(9x^2) - (4y^2) + 144 = 0 is the answer
But I keep getting (-9x^2) + (4y^2) - 144 = 0
Why are all my positive and negative signs reversed?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The general form of a hyperbola is
where either or is negative (but never both)
respecting alphabetic order, let say is positive and is negative
in this case hyperbola opens up and down, just as in your case
....both sides multiply by and you get
... simplify, divide by
.... , to make it positive multiply equation by
...rearrange
Answer by ikleyn(52817) (Show Source): You can put this solution on YOUR website!
.
Your equation in the post is mathematically equivalent to the "answer" equation.
One equation is precisely another multiplied by -1.
Multiplication by a constant non-zero number leaves/makes/remains equations equivalent.
So, you may not trouble.
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