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 sol

Question

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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Clara 3 weeks 2021-12-27T16:05:21+00:00 1 Answer 0 views 0

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    2021-12-27T16:06:57+00:00

    Answer:

    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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