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15 December, 20:43

Solve by completing the square

3x2 + x - 2 = 0

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Answers (1)
  1. 15 December, 21:03
    0
    x = 2/3 or x = - 1

    Step-by-step explanation by completing the square:

    Solve for x:

    3 x^2 + x - 2 = 0

    Divide both sides by 3:

    x^2 + x/3 - 2/3 = 0

    Add 2/3 to both sides:

    x^2 + x/3 = 2/3

    Add 1/36 to both sides:

    x^2 + x/3 + 1/36 = 25/36

    Write the left hand side as a square:

    (x + 1/6) ^2 = 25/36

    Take the square root of both sides:

    x + 1/6 = 5/6 or x + 1/6 = - 5/6

    Subtract 1/6 from both sides:

    x = 2/3 or x + 1/6 = - 5/6

    Subtract 1/6 from both sides:

    Answer: x = 2/3 or x = - 1
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