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25 May, 08:57

Solve the equation k (k - 6) = 14-k.

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Answers (2)
  1. 25 May, 09:00
    0
    Answer: k^2=5k-14=0 is the answer
  2. 25 May, 09:18
    0
    k = - 2, k = 7

    Step-by-step explanation:

    Given

    k (k - 6) = 14 - k ← distribute left side

    k² - 6k = 14 - k (subtract 14 - k from both sides)

    k² - 5k - 14 = 0 ← in standard form

    (k - 7) (k + 2) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x + 2 = 0 ⇒ x = - 2

    x - 7 = 0 ⇒ x = 7
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