SOLUTION: Reduce the equation of a hyperbola to standard form. y² - x² - 6y – 20x – 95 = 0.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Reduce the equation of a hyperbola to standard form. y² - x² - 6y – 20x – 95 = 0.      Log On


   

Question 971579: Reduce the equation of a hyperbola to standard form. y² - x² - 6y – 20x – 95 = 0.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the squares (if needed ) for x and y and then adjust the form.

y%5E2-6y-x%5E2-20x=95
y%5E2-6y%2B3%5E2-%28x%5E2%2B20x%2B10%5E2%29=95%2B3%5E2-10%5E2
%28y-3%29%5E2-%28x%2B10%29%5E2=95%2B9-100
%28y-3%29%5E2-%28x%2B10%29%5E2=4

highlight%28%28y-3%29%5E2%2F4-%28x%2B10%29%5E2%2F4=1%29

Study the lesson on how to Complete The Square:
How to Solve, but includes How To Complete The Square
http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev