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10 December, 19:03

Select the correct answer. What are the solutions of this quadratic equation? - 3x2 + 1 = 3x - 2

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Answers (1)
  1. 10 December, 19:24
    0
    Answer: Answer:

    x

    =

    -

    1

    2

    +

    -

    1

    2

    5

    or

    x

    =

    -

    1

    2

    +

    1

    2

    5

    Step-by-step explanation:

    Let's solve your equation step-by-step.

    -

    3

    x

    2

    +

    1

    =

    3

    x

    -

    2

    Step 1: Subtract 3x-2 from both sides.

    -

    3

    x

    2

    +

    1

    -

    (

    3

    x

    -

    2

    )

    =

    3

    x

    -

    2

    -

    (

    3

    x

    -

    2

    )

    -

    3

    x

    2

    -

    3

    x

    +

    3

    =

    0

    Step 2: Use quadratic formula with a=-3, b=-3, c=3.

    x

    =

    -

    b

    ±

    b

    2

    -

    4

    a

    c

    2

    a

    x

    =

    -

    (

    -

    3

    )

    ±

    (

    -

    3

    )

    2

    -

    4

    (

    -

    3

    )

    (

    3

    )

    2

    (

    -

    3

    )

    x

    =

    3

    ±

    45

    -

    6

    x

    =

    -

    1

    2

    +

    -

    1

    2

    5

    or

    x

    =

    -

    1

    2

    +

    1

    2

    5
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