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Numerade Educator

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Problem 19 Easy Difficulty

Show that the equation represents a sphere, and find its center and radius.

$ 2x^2 + 2y^2 + 2z^2 = 8x - 24z + 1 $

Answer

$(2,0,-6), 9 / \sqrt{2}$

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Video Transcript

right. So we're going to complete the square. So, uh, he's do these guys over, okay? And then we do the completeness. Where? Algorithm. Okay, so we get to times X minus two. Squared was to y squared. It was two times he mighta six square. That's all going to be equal to eighty one here. So you want over eighty one over to sew. The center is at two zero six the radius, his nine overact.