Question

Group the x terms together and the y terms together, and move the constant term to the other side of the equation.

x²+ 12x + y²+ 2y = 1
Determine (b ÷ 2)2 for the x and y terms.
(12 ÷ 2)2 = 36 and (2 ÷ 2)2 = 1
Add the values to both sides of the equation.
x2 + 12x + 36 + y2 + 2y + 1 = 1 + 36 + 1
Write each trinomial as a binomial squared, and simplify the right side.
(x + )2 + (y + )2 =

Answer 1

Explanation:

The equation you provided can be rewritten as:

(x + 6)² + (y + 1)² = 42

This is the equation of a circle with center (-6, -1) and radius the square root of 42.