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12 November, 03:23

2x2 - 2x + 3 = 0

Find the number of real solutions using the discriminant.

+3
Answers (2)
  1. 12 November, 03:47
    0
    Step-by-step explanation:

    Use the quadratic formula to find the solutions.

    -

    b

    ±



    b

    2

    -

    4

    (

    a

    c

    )

    2

    a

    Substitute the values

    a

    =

    2

    ,

    b

    =

    -

    2

    , and

    c

    =

    -

    3

    into the quadratic formula and solve for

    x

    .

    2

    ±



    (

    -

    2

    )

    2

    -

    4



    (

    2



    -

    3

    )

    2



    2

    Simplify.

    Tap for more steps ...

    x

    =

    1

    ±



    7

    2

    The result can be shown in multiple forms.

    Exact Form:

    x =

    1

    ±



    7

    2

    Decimal Form:

    x

    =

    1.82287565

    ...

    ,

    -

    0.82287565

    ...
  2. 12 November, 03:52
    0
    Step-by-step explanation:

    using the formulas for the discriminant (b^2-4ac=0)

    =2^2-4 (2) (3) = 0

    =4-24

    = - 20

    therefore the equation has no real roots because - 20 <0
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