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Abraham Richards
Mathematics
16 November, 13:29
X² - 6x + y² + 2y = - 1
find center & Radius
+1
Answers (
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Alejandra Raymond
16 November, 13:34
0
The answer to your question is Center = (3, - 1), radius = 3
Step-by-step explanation:
Equation
x² - 6x + y² + 2y = - 1
-Process
1. - Leave a space between the like terms
x² - 6x + y² + 2y = - 1
2. - Divide the middle term of each group by 2 and write the result to the power of 2 in both sides of the equation.
x² - 6x + (3) ² + y² + 2y + (1) ² = - 1 + 3² + 1²
3. - Simplification
x² - 6x + 9 + y² + 2y + 1 = - 1 + 9 + 1
4. - Factor
(x - 3) ² + (y + 1) ² = 9
5. - Find the center and the radius
Center = (3, - 1)
Radius = √9 = 3
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