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22 December, 13:24

Use the quadratic formula to solve for x.

6x^2-4x=1

Round your answer to the nearest hundredth.

If there is more than one solution, separate them with commas.

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Answers (1)
  1. 22 December, 13:51
    0
    x = 1/3 + sqrt (5/2) / 3 or x = 1/3 - sqrt (5/2) / 3

    Step-by-step explanation:

    Solve for x:

    6 x^2 - 4 x = 1

    Divide both sides by 6:

    x^2 - (2 x) / 3 = 1/6

    Add 1/9 to both sides:

    x^2 - (2 x) / 3 + 1/9 = 5/18

    Write the left hand side as a square:

    (x - 1/3) ^2 = 5/18

    Take the square root of both sides:

    x - 1/3 = sqrt (5/2) / 3 or x - 1/3 = - sqrt (5/2) / 3

    Add 1/3 to both sides:

    x = 1/3 + sqrt (5/2) / 3 or x - 1/3 = - sqrt (5/2) / 3

    Add 1/3 to both sides:

    Answer: x = 1/3 + sqrt (5/2) / 3 or x = 1/3 - sqrt (5/2) / 3
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