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25 November, 13:56

Is {-2, 1} a solution set to X squared take away 2X Takeaway three equals X take away one

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  1. 25 November, 14:12
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    No! {-2, 1} is not a solution set to the given equation.

    Step-by-step explanation:

    The statement X squared take away 2X Takeaway three equals X take away one can be written in mathematical terms as follows:

    X² - 2X - 3 = X - 1

    ⇒ X² - 2X - 3 - X + 1 = 0

    ⇒ X² - 3X - 2 = 0

    Now, substitute x = - 2 and see if the equation is satisfied.

    ⇒ (-2) ² - 3 (-2) - 2 = 4 + 6 - 2

    = 8 ≠ 0

    So, - 2 is not a solution to the equation.

    Now, check for x = 1.

    ⇒ (1) ² - 3 (1) - 2 = 1 - 3 - 2

    = - 4 ≠ 0

    ⇒ x = 1 is not a solution as well.
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