Geometry.Help me, please

The answer to your question is   Center = (-1, 2)    Radius = 2

Step-by-step explanation:

Data

                 x² + y² + 2x - 4y + 1 = 0

Process

1.- Group like terms

                (x² + 2x      ) + (y² - 4y     ) = -1

2.- Complete Perfect square trinomials

                (x² + 2x + 1²) + (y² - 4y + 2²) = -1 + 1² + 2²

3.- Simplify

                 (x + 1)² + (y - 2)² = 4

4.- Get the center and the radius

Standard equation       (x - h)² + (y - k)² = r²

Center = (h, k)                                          

    Center = (-1, 2)

    Radius = 2

astronomers is your final answer! : )

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step-by-step explanation: