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5 June, 16:51

Solve this quadratic equation by completing the square.

x2 + 6x = 18

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Answers (1)
  1. 5 June, 17:25
    0
    x=3sqrt3-3; x=-3sqrt3-3

    Step-by-step explanation:

    solve for a, 2ax=6x; a=3:

    x^2+6x+3^2=18+3^2

    Simplify, 18+3^2=27:

    x^2+6x+3^2=27

    Complete square: (x+3) ^2=27

    Two answers: x+3=sqrt27; x+3=-sqrt27

    Therefore, x=3sqrt3-3; x=-3sqrt3-3
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