Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and calculations to receive credit. x2 + 4x + y2 − 6y = −4

Given:

The equation of a circle is:

To find:

The center and radius of the circle.

Solution:

We have,

To make complete square add square of half of x and square of half of y on both sides.

            ...(i)

The standard form of a circle is:

             ...(ii)

On comparing both sides, we get

Therefore, the center of the circle is (-2,3) and the radius is 3 units.

⊂⊃⊂⊃ω

step-by-step explanation:

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