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31 July, 14:41

Solve each equation by factoring

x^2-11x+19=-5

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  1. 31 July, 16:30
    0
    X² - 11x + 19 = - 5

    Convert to standard form: one side must be 0.

    x² - 11x + 19 + 5 = 0

    x² - 11x + 24 = 0

    Factor of x² is x * x

    Factor of 24:

    *note that the 2 numbers must be equal to 24 and must add up to - 11

    * - 8 x - 3 = + 24

    * - 8 + - 3 = - 11

    x² - 11x + 24 = 0

    (x - 8) (x - 3) = 0

    x - 8 = 0

    x = 8

    *to check: x² - 11x + 24 = 0

    8² - 11 (8) + 24 = 0

    64 - 88 + 24 = 0

    88 - 88 = 0

    0 = 0

    x - 3 = 0

    x = 3

    to check: x² - 11x + 24 = 0

    3² - 11 (3) + 24 = 0

    9 - 33 + 24 = 0

    33 - 33 = 0

    0 = 0
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