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Find the center and radius of each circle. (Hint: In Exercises 15 and $16,$ divide each side by a common factor)$$x^{2}+y^{2}-8 x-12 y+3=0$$
Precalculus
Algebra
Chapter 13
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Section 2
The Circle and the Ellipse
Introduction to Conic Sections
An Introduction to Geometry
Functions
Systems of Equations and Inequalities
Oregon State University
University of Michigan - Ann Arbor
Idaho State University
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have the equation X squared plus y squared minus eight. Eggs minus 12 Y plus three equals zero. We're gonna organize this. Who are Axes are together, are wise, are together. We're gonna move the three over by subtracting three of both sides. Were you completely square with the access to complete the square with wise half of negative eights. Negative four. Gonna force bridge Most 16. Do that to the other side as well. Half naked 12 is negative. 66 squared is plus 36 at 36. Okay, so no, we have x minus four squared. Plus why minus six squared equals 49 which means the center his at 46 and the radius is 77. Squared is 49.
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