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Solve: The Equation of a Sphere

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Please complete the following: Find an equation of the sphere that passes through the origin and whose center is (10, 0, -10) and equals 0. Note that you must put everything on the left hand side of the equation and that we desire the coefficients of the quadratic terms to be 1.

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Solution Summary

This solution is comprised of a detailed, step by step response which illustrates all of the calculations required to solve for the equation of a sphere. Furthermore, this solution shows how to organize the terms on the left hand side of the equation, which is required for solving.

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The equation of the sphere with centre at (10, 0, -10) and radius r is:
(x-10)^2 + (y-0)^2 + (z+10)^2 = r^2

But this sphere passes ...

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