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13 March, 11:59

Bruno needs to solve the equation x2 + 6x - 8 = 0 by completing the square. Which pair of steps is the most efficient way to begin?

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  1. 13 March, 12:36
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    There are probably some choices we're not being shown, but let's just do the whole procedure.

    x² + 6x - 8 = 0

    Step one: move the 8 to the other side.

    x² + 6x = 8

    Step two: add (6/2) ²=9 to both sides.

    x² + 6x + 3² = 8 + 9

    Step three: Factor

    (x + 3) ² = 17

    Step four: take the square root

    x + 3 = ±√17

    Step five: Solve for x,

    x = - 3 ± √17
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