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22 November, 08:24

Complete the table by providing justification for each step of the proof

Conjecture: If 4 (x^2-2) = 28, then xis 3 or - 3

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  1. 22 November, 10:25
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    4 (x² - 2) = 28

    1. Distribute the 4

    4x² - 8 = - 28

    2. Plug in 3 and - 3

    4 (3) ² - 8 = 28

    4 (-3) ² - 8 = 28

    3. Square 3 and - 3

    4 (9) - 8 = 28

    4 (9) - 8 = 28

    28 = 28

    The reason both answers are the same is because whenever you put a negative number to an even power, the result becomes positive because any negative multiplied by a negative number is always positive.

    28 = 28
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