Respuesta :

chikafujiwara

Answer:

Step 2, he didn't add the values he completed the square with to both sides.

Step-by-step explanation:

When you complete the square, you need to add the values to both sides, not just one.

So when Homer added 49 + 1 or 50 to the left side of the equation, he should've also added 50 to the right side of the equation.

Hence, the equation would now be :

(x-7)^2 + (y+1)^2 = 75

In step: 2, Homer made a mistake. He added 50 on the left hand side of the equation, but did not add the same on the right hand side of the equation.

Given, x² + y² -14x + 2y -25 =  0

Step: 1  (x² -14x)+ (y² + 2y) =  25

Step: 2 (x² -14x + 49)+ (y² + 2y + 1) =  25 + 50

Step: 3 (x - 7)² + (y + 1)² =  75

Step: 4 Hence, the center of the circle is (7, -1) and the radius is [tex]\sqrt{75}[/tex] = 5[tex]\sqrt{3}[/tex]

Learn more about the center and radius of a circle here: https://brainly.com/question/20975103

#Tag #SPJ2

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