Answer:
The answer to your question is getting the center and the radius of the polynomial we conclude that the data given are correct.
Step-by-step explanation:
x² - 2x + 1 + y² - 4y + 4 = 25
First, factor the first three terms as a perfect square trinomial
(x - 1)² + y² - 4y + 4 = 25
Second, factor the last terms as a perfect square trinomial
(x - 1)² + (y - 2)² = 25
Get the numbers of each factor and change their signs
Ex (x -1)² = 1
(y - 2)² = 2
These numbers are the center of the circle (1, 2)
Get the square root of 25
[tex]\sqrt{25} = 5[/tex] This is the radius
Then center = (1, 2) and radius = 5
