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1 March, 15:32

Solve the quadratic equation for x. What is the product when the roots are multiplied? (x + 2) 2 = 1

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Answers (2)
  1. 1 March, 16:19
    0
    x = - 2 or 0; Product of roots = 0.

    Step-by-step explanation:

    Product of roots:

    (x + 1) ² = 1

    x² + 2x + 1 = 1

    x² + 2x = 0

    The standard form of a quadratic is a² + bx + c = 0.

    In your equation, a = 1; b = 2; c = 0

    Even without solving the equation, we know that the product of the roots is zero, because

    Product of roots = c/a = 0/1 = 0

    Solution:

    Factor the quadratic x (x + 2) = 0

    Use zero product property x = 0 x + 2 = 0

    x = - 2

    The roots are x = 0 and x = - 2.
  2. 1 March, 16:59
    0
    Regroup terms

    2 (x + 2) = 1

    Divided both sides by 2

    x + 2 = 1/2

    Subtract 2 from both sides

    x = 1/2 - 2

    Simplify 1/2 - 2 to - 3/2

    x = - 3/2
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