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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.

https://brainmass.com/math/algebra/solve-the-equation-of-a-sphere-32339

#### Solution Preview

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 ...

#### 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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