Question

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credit.

x2 + 2x + y2 + 4y = 20

Answer 1

Take the given equation and convert it to the sum of two perfect squares by using "completing the square" method.
You will get the following \[(x + 1)^{2}+(y+2)^{2}=25\] If you can not do this review "completing the square"

Step 2. Look up the formula for circle whose center is not at (0,0) in standard form. Now solve for the requested information.

Answer 2

The center is at point (-1,-2) and the radius is 5. You show the necessary steps.

Answer 3

ookay that is the answer

Answer 4

@radar