Write the equation of the sphere in standard form. x2 + y2 + z2 + 12x − 4y + 4z + 40 = 0 Find its center and radius. center (x, y, z) = radius
Added by Gigi G.
Step 1
To do this, we need to complete the square for the x, y, and z terms. The given equation is: x^2 + y^2 + z^2 + 12x - 4y + 4z + 40 = 0 First, let's group the x, y, and z terms together: (x^2 + 12x) + (y^2 - 4y) + (z^2 + 4z) + 40 = 0 Now, we need to complete the Show more…
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