The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. what is this equation written in its standard form?

You need to complete the square in x and in y,



First, group the x-terms and the y-terms separately.



Move the 10 to the right side by subtracting 10 from both sides.



Now complete the square in x and in y.
The constant you need to add to complete each square is the square of half of the coefficient of the x or y term. Make sure to add the constants to both sides of the equation.

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