Problem 56 of 7
Identify center and radius after completing the square for x^2+y^2+6x+10y+18=0.
Hints
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interpret transformed equation.
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Equation must be convertible to standard circle form with positive radius squared.
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Your answer is equivalent to the expected form.
Solution
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1. Complete the square to write standard form.
2. Read the center from the binomial signs.
3. Take the square root of the right side for radius.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Reporting radius squared or sign-flipped center.