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28 January, 07:40

What are the solutions of the equation (x + 2) 2 - 2 (x + 2) - 15 = 0? Use u substitution to solve.

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  1. 28 January, 09:00
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    Step-by-step explanation:

    hello:

    (x + 2) 2 - 2 (x + 2) - 15 = 0

    let : t = x+2

    t²-2t-15 = 0

    (t-5) (t+3) = 0

    t-5=0 or t+3=0

    t=5 or t=-3

    but : t = x+2

    if : t=5 x+2 = 5 so : x=3

    if : t = - 3 x+2 = - 3 so : x = - 5

    conclusion two solutions : 3, - 5
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