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01-03-2020
Mathematics

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what is the center and radious for the cricle with equation 2x^2–8x+2y^2+12y+14=0

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MathPhys MathPhys

01-03-2020

Step-by-step explanation:

2x² – 8x + 2y² + 12y + 14 = 0

x² – 4x + y² + 6y + 7 = 0

Complete the squares.

x² – 4x + 4 + y² + 6y + 9 + 7 = 4 + 9

(x – 2)² + (y + 3)² + 7 = 13

(x – 2)² + (y + 3)² = 6

The center is (2, -3), and the radius is √6.

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