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# Show that the equation represents a sphere, and find its center and radius.$2x^2 + 2y^2 + 2z^2 = 8x - 24z + 1$

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

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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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.

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp