PLEASE HELP URGENT 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 + 2x + y2 + 4y = 20Complete 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 + 2x + y2 + 4y = 20

 The Center is (-1,-2)  The Radius is 5

Step-by-step explanation:   x²   + 2x + y² + 4y = 20 To complete the square, leave a space to insert (b/2a)²  That is the square of half of the coefficient of the middle x or y   2/2= 1, 1² = 1  so add to both sides

4/2= 2,  2²= 4 so add that to both sides of the equation too.

X²   + 2x   +1  +   y² + 4y  +4  = (20 +1 +4 )  

X²   + 2x   +1    + y² + 4y  +4   =    (20 +1 +4 )   Add the constants,

Factor the x & y quadratic expressions separately.

(x + 1 )(x + 1 )   +  ( y + 2 )(y +2)  =  25   rewrite the factors as squares

(x + 1 )²  + ( y + 2 )²   = 5²      Then take the square roots of the terms

    √5² =   5  That is the radius of the circle.

solve for x and y to get the coordinate of the center.    

x + 1 =0 x = -1    y + 2 = 0   y = -2    The coordinate of the center is (-1, -2)

The attachment shows the graph of the circle as verification

the diameter is 16 cm. are you a teacher?

step-by-step explanation: