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6 April, 00:28

Solving Quadratic Equations: Factoring

Assignment Active

Solving a Quadratic Equation

Which statement is true about the equation (x - 4) (x + 2) = 16?

The equation X-4 = 16 can be used to solve for a solution of the given equation

The standard form of the equation is x2 - 2x - 8 = 0.

The factored form of the equation is (x + 4) (x - 6) = 0.

One solution of the equation is x = - 6.

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Answers (1)
  1. 6 April, 03:52
    0
    The factored form of the equation is (x+4) (x-6) = 0.

    Step-by-step explanation:

    Because (x-4) (x+2) = x^2-4x+2x-8=16,

    so that means x^2-2x-8=16,

    move 16 to the other side,

    you get x^2-2x-8-16=0,

    simplify,

    you get x^2-2x-24=0,

    which satisfies (x+4) (x-6) = 0 when factored out.

    Because (x+4) (x-6) = x^2+4x-6x-24=x^2-2x-24=0.
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