SOLUTION: Determine the standard equation of the hyperbola whose general equation is 5x^2-4y^2-20x-24y-36=0.

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Question 1186522: Determine the standard equation of the hyperbola whose general equation is 5x^2-4y^2-20x-24y-36=0.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!




(1) group the x and y terms together; factor out the leading coefficients for both variables; move the constant to the other side:


(2) complete the square in x and y, making sure to add/subtract appropriate constants on the right to keep the equation balanced:


(3) divide by the constant on the right (to make the right side equal to 1); write the expression for each variable as a binomial square:


Done....


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