SOLUTION: Write the equation for 5x^2+5y^2-40x+30y-120=0 in standard form. Show work.

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Question 1062695: Write the equation for 5x^2+5y^2-40x+30y-120=0 in standard form. Show work.
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2-40x%2B5y%5E2%2B30y=120

5%28x%5E2-8x%29%2B5%28y%5E2%2B6y%29=12%2A2%2A5

%28x%5E2-8x%29%2B%28y%5E2%2B6y%29=24

%28x%5E2-8x%2B4%5E2%29%2B%28y%5E2%2B6y%2B3%5E2%29=24%2B4%5E2%2B3%5E2-------completing the squares

%28x-4%29%5E2%2B%28y%2B3%29%5E2=24%2B16%2B9=49

highlight%28%28x-4%29%5E2%2B%28y%2B3%29%5E2=7%5E2%29