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19 May, 12:34

Write the equation of the sphere in standard form. x2 + y2 + z2 + 4x - 6y - 6z = - 6

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  1. 19 May, 12:57
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    Hello:

    x2 + y2 + z2 + 4x - 6y - 6z = - 6

    (x²+4x) + (y² - 6y) + (z² - 6z) = - 6

    ((x² + 4x + 4) - 4) + ((y² - 6y + 9) - 9) + ((z² - 6z+9) - 9) = - 6

    (x+2) ² + (y - 3) ² + (z - 3) ² = 4² ... (standard form)
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