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25 November, 21:59

Solve the quadratic equation by completing the square 3x^2 - 6x-4=0

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  1. 25 November, 22:54
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    Step-by-step explanation:

    3x² - 6x-4=0

    3 (x² - 2x) - 4 = 0

    3 (x²-2x+1-1) - 4 = 0 completing the square

    3 ((x - 1) ² - 1) - 4 = 0

    3 (x - 1) ² - 3 - 4 = 0

    (x - 1) ² = 7/3

    x - 1 = √ (7/3) or x - 1 = - √ (7/3)

    x = 1+√ (7/3) or x = 1-√ (7/3)
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