Problem 68 of 7
Determine whether general quadratic equation 3x^2+2y^2-6x+4y-1=0 represents a real circle.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
check equal x/y squared coefficients and positive radius squared.
Hidden until you reveal it.
Check equal x^2 and y^2 coefficients and positive radius squared after completing the square.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Check x^2 and y^2 coefficients.
2. Complete the square if coefficients match.
3. Classify by the resulting radius squared.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Equations with unequal squared coefficients as circles.